131345354330352 has 160 divisors (see below), whose sum is σ = 396953487200000. Its totient is φ = 41466918746880.

The previous prime is 131345354330321. The next prime is 131345354330387. The reversal of 131345354330352 is 253033453543131.

It is a happy number.

131345354330352 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 53 + 543 + 3 + 0 + 3 + 52 = 666.

131345354330352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131345354330298 and 131345354330307.

It is a congruent number.

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, 30230274 + ... + 34301022.

It is an arithmetic number, because the mean of its divisors is an integer number (2480959295000).

Almost surely, 2^{131345354330352} is an apocalyptic number.

131345354330352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131345354330352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198476743600000).

131345354330352 is an abundant number, since it is smaller than the sum of its proper divisors (265608132869648).

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

131345354330352 is a wasteful number, since it uses less digits than its factorization.

131345354330352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074716 (or 4074704 counting only the distinct ones).

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

The spelling of 131345354330352 in words is "one hundred thirty-one trillion, three hundred forty-five billion, three hundred fifty-four million, three hundred thirty thousand, three hundred fifty-two".