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131111331030303 = 3132653396021793
BaseRepresentation
bin11101110011111010111100…
…010011111110010100011111
3122012020010021002102000221120
4131303322330103332110133
5114141112001220432203
61142503414114502023
736421324002461001
oct3563727423762437
9565203232360846
10131111331030303
113885a004334a78
1212856307594913
13582098ca2b800
142453b724a6371
15102578ebc6b53
hex773ebc4fe51f

131111331030303 has 24 divisors (see below), whose sum is σ = 189586721398032. Its totient is φ = 80560337015808.

The previous prime is 131111331030193. The next prime is 131111331030373. The reversal of 131111331030303 is 303030133111131.

It is not a de Polignac number, because 131111331030303 - 214 = 131111331013919 is a prime.

It is a super-2 number, since 2×1311113310303032 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111331030373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197679826 + ... + 198341967.

It is an arithmetic number, because the mean of its divisors is an integer number (7899446724918).

Almost surely, 2131111331030303 is an apocalyptic number.

131111331030303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131111331030303 is a deficient number, since it is larger than the sum of its proper divisors (58475390367729).

131111331030303 is a wasteful number, since it uses less digits than its factorization.

131111331030303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396022475 (or 396022462 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 131111331030303 its reverse (303030133111131), we get a palindrome (434141464141434).

The spelling of 131111331030303 in words is "one hundred thirty-one trillion, one hundred eleven billion, three hundred thirty-one million, thirty thousand, three hundred three".

Divisors: 1 3 13 39 169 507 653 1959 8489 25467 110357 331071 396021793 1188065379 5148283309 15444849927 66927683017 200783049051 258602230829 775806692487 3361829000777 10085487002331 43703777010101 131111331030303