131213902300560 has 200 divisors, whose sum is σ = 456142295467320. Its totient is φ = 34958358908928.

The previous prime is 131213902300501. The next prime is 131213902300609. The reversal of 131213902300560 is 65003209312131.

131213902300560 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 3 + 90 + 2 + 3 + 0 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16898117575824 + 114315784724736 = 4110732^2 + 10691856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2180425 + ... + 16345704.

Almost surely, 2^{131213902300560} is an apocalyptic number.

131213902300560 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 131213902300560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228071147733660).

131213902300560 is an abundant number, since it is smaller than the sum of its proper divisors (324928393166760).

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

131213902300560 is a wasteful number, since it uses less digits than its factorization.

131213902300560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18527247 (or 18527232 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 131213902300560 in words is "one hundred thirty-one trillion, two hundred thirteen billion, nine hundred two million, three hundred thousand, five hundred sixty".