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131332310001321 = 31113674569192847
BaseRepresentation
bin11101110111001000101111…
…101011110110011010101001
3122020000020122111022212110120
4131313020233223312122221
5114203222032330020241
61143153121425033453
736443306033646552
oct3567105753663251
9566006574285416
10131332310001321
11389347a1195650
12128910b8a85889
1358387784abbb0
1424607368a5329
15102b3c4ce2666
hex77722faf66a9

131332310001321 has 32 divisors (see below), whose sum is σ = 208793836382208. Its totient is φ = 72376014680640.

The previous prime is 131332310001199. The next prime is 131332310001341. The reversal of 131332310001321 is 123100013233131.

It is not a de Polignac number, because 131332310001321 - 29 = 131332310000809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131332310001291 and 131332310001300.

It is not an unprimeable number, because it can be changed into a prime (131332310001341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2284567681 + ... + 2284625166.

It is an arithmetic number, because the mean of its divisors is an integer number (6524807386944).

Almost surely, 2131332310001321 is an apocalyptic number.

131332310001321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131332310001321 is a deficient number, since it is larger than the sum of its proper divisors (77461526380887).

131332310001321 is a wasteful number, since it uses less digits than its factorization.

131332310001321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569192941.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131332310001321 its reverse (123100013233131), we get a palindrome (254432323234452).

The spelling of 131332310001321 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, three hundred ten million, one thousand, three hundred twenty-one".

Divisors: 1 3 11 13 33 39 67 143 201 429 737 871 2211 2613 9581 28743 4569192847 13707578541 50261121317 59399507011 150783363951 178198521033 306135920749 653394577121 918407762247 1960183731363 3367495128239 3979766969737 10102485384717 11939300909211 43777436667107 131332310001321