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131311011233320 = 23511699280603067
BaseRepresentation
bin11101110110110100111010…
…001011011111111000101000
3122012221012200010221100110021
4131312310322023133320220
5114202344422333431240
61143135240142330224
736441623161263202
oct3566647213377050
9565835603840407
10131311011233320
113892676162aa46
1212888b53b89974
135836762a0aca9
14245d6b5cdd772
15102aa7a02b54a
hex776d3a2dfe28

131311011233320 has 32 divisors (see below), whose sum is σ = 295475030604000. Its totient is φ = 52519914657088.

The previous prime is 131311011233317. The next prime is 131311011233359. The reversal of 131311011233320 is 23332110113131.

131311011233320 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-2 number, since 2×1313110112333202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139833574 + ... + 140769493.

It is an arithmetic number, because the mean of its divisors is an integer number (9233594706375).

Almost surely, 2131311011233320 is an apocalyptic number.

131311011233320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311011233320 is an abundant number, since it is smaller than the sum of its proper divisors (164164019370680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131311011233320 is a wasteful number, since it uses less digits than its factorization.

131311011233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280614777 (or 280614773 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 131311011233320 its reverse (23332110113131), we get a palindrome (154643121346451).

The spelling of 131311011233320 in words is "one hundred thirty-one trillion, three hundred eleven billion, eleven million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 11699 23398 46796 58495 93592 116990 233980 467960 280603067 561206134 1122412268 1403015335 2244824536 2806030670 5612061340 11224122680 3282775280833 6565550561666 13131101123332 16413876404165 26262202246664 32827752808330 65655505616660 131311011233320