131131133013300 has 432 divisors, whose sum is σ = 442300715942400. Its totient is φ = 29908333244160.

The previous prime is 131131133013263. The next prime is 131131133013301. The reversal of 131131133013300 is 3310331131131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131133013301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15074272351 + ... + 15074281049.

Almost surely, 2^{131131133013300} is an apocalyptic number.

131131133013300 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 131131133013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221150357971200).

131131133013300 is an abundant number, since it is smaller than the sum of its proper divisors (311169582929100).

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

131131133013300 is a wasteful number, since it uses less digits than its factorization.

131131133013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10820 (or 10806 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 131131133013300 its reverse (3310331131131), we get a palindrome (134441464144431).

The spelling of 131131133013300 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, one hundred thirty-three million, thirteen thousand, three hundred".