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131323132312031 = 11101346457253681
BaseRepresentation
bin11101110111000000001100…
…101001101111100111011111
3122012222100221212212221120102
4131313000030221233213133
5114203044233332441111
61143145003015211315
736442532432613122
oct3567001451574737
9565870855787512
10131323132312031
113893091166a870
121288b377376b3b
135837944c8670a
142460105a383b9
15102b03921713b
hex77700ca6f9df

131323132312031 has 16 divisors (see below), whose sum is σ = 143406674075808. Its totient is φ = 119263775769600.

The previous prime is 131323132312019. The next prime is 131323132312061. The reversal of 131323132312031 is 130213231323131.

It is a de Polignac number, because none of the positive numbers 2k-131323132312031 is a prime.

It is a super-2 number, since 2×1313231323120312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131323132311985 and 131323132312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131323132312061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517543511 + ... + 517797191.

It is an arithmetic number, because the mean of its divisors is an integer number (8962917129738).

Almost surely, 2131323132312031 is an apocalyptic number.

131323132312031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131323132312031 is a deficient number, since it is larger than the sum of its proper divisors (12083541763777).

131323132312031 is a wasteful number, since it uses less digits than its factorization.

131323132312031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301162.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 131323132312031 its reverse (130213231323131), we get a palindrome (261536363635162).

The spelling of 131323132312031 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, one hundred thirty-two million, three hundred twelve thousand, thirty-one".

Divisors: 1 11 1013 11143 46457 253681 511027 2790491 47060941 256978853 517670351 2826767383 11785258217 129637840387 11938466573821 131323132312031