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131332310001310 = 251111315596777263
BaseRepresentation
bin11101110111001000101111…
…101011110110011010011110
3122020000020122111022212110011
4131313020233223312122132
5114203222032330020220
61143153121425033434
736443306033646535
oct3567105753663236
9566006574285404
10131332310001310
11389347a1195640
12128910b8a8587a
1358387784abba2
1424607368a531c
15102b3c4ce265a
hex77722faf669e

131332310001310 has 64 divisors (see below), whose sum is σ = 260338024028160. Its totient is φ = 47304204398080.

The previous prime is 131332310001199. The next prime is 131332310001341. The reversal of 131332310001310 is 13100013233131.

131332310001310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1313323100013103 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15989739 + ... + 22767001.

It is an arithmetic number, because the mean of its divisors is an integer number (4067781625440).

Almost surely, 2131332310001310 is an apocalyptic number.

131332310001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131332310001310 is a deficient number, since it is larger than the sum of its proper divisors (129005714026850).

131332310001310 is a wasteful number, since it uses less digits than its factorization.

131332310001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778953.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131332310001310 its reverse (13100013233131), we get a palindrome (144432323234441).

The spelling of 131332310001310 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, three hundred ten million, one thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 55 110 113 226 565 1130 1243 1559 2486 3118 6215 7795 12430 15590 17149 34298 85745 171490 176167 352334 880835 1761670 1937837 3875674 6777263 9689185 13554526 19378370 33886315 67772630 74549893 149099786 372749465 745498930 765830719 1531661438 3829153595 7658307190 8424137909 10565753017 16848275818 21131506034 42120689545 52828765085 84241379090 105657530170 116223283187 232446566374 581116415935 1162232831870 1193930090921 2387860181842 5969650454605 11939300909210 13133231000131 26266462000262 65666155000655 131332310001310