131045435333352 has 128 divisors (see below), whose sum is σ = 369693328435200. Its totient is φ = 43005139660800.

The previous prime is 131045435333317. The next prime is 131045435333473. The reversal of 131045435333352 is 253333534540131.

It is a happy number.

131045435333352 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 543 + 53 + 3 + 3 + 3 + 52 = 666.

It is a super-2 number, since 2×131045435333352² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131045435333298 and 131045435333307.

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, 12371349 + ... + 20375012.

It is an arithmetic number, because the mean of its divisors is an integer number (2888229128400).

Almost surely, 2^{131045435333352} is an apocalyptic number.

131045435333352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131045435333352 is an abundant number, since it is smaller than the sum of its proper divisors (238647893101848).

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

131045435333352 is a wasteful number, since it uses less digits than its factorization.

131045435333352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32746664 (or 32746654 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 45.

Adding to 131045435333352 its reverse (253333534540131), we get a palindrome (384378969873483).

The spelling of 131045435333352 in words is "one hundred thirty-one trillion, forty-five billion, four hundred thirty-five million, three hundred thirty-three thousand, three hundred fifty-two".