131207731200 has 1728 divisors, whose sum is σ = 607812660000. Its totient is φ = 27497594880.

The previous prime is 131207731163. The next prime is 131207731289. The reversal of 131207731200 is 2137702131.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 880588726 + ... + 880588874.

Almost surely, 2^131207731200 is an apocalyptic number.

131207731200 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 131207731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303906330000).

131207731200 is an abundant number, since it is smaller than the sum of its proper divisors (476604928800).

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

131207731200 is a wasteful number, since it uses less digits than its factorization.

131207731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 131207731200 in words is "one hundred thirty-one billion, two hundred seven million, seven hundred thirty-one thousand, two hundred".