131059356400 has 120 divisors (see below), whose sum is σ = 361424719520. Its totient is φ = 44738196480.

The previous prime is 131059356391. The next prime is 131059356403. The reversal of 131059356400 is 4653950131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131059356400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131059356403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539002 + ... + 743398.

Almost surely, 2^131059356400 is an apocalyptic number.

131059356400 is a gapful number since it is divisible by the number (10) 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 131059356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180712359760).

131059356400 is an abundant number, since it is smaller than the sum of its proper divisors (230365363120).

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

131059356400 is a wasteful number, since it uses less digits than its factorization.

131059356400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204651 (or 204640 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 131059356400 in words is "one hundred thirty-one billion, fifty-nine million, three hundred fifty-six thousand, four hundred".