131201130000400 has 240 divisors, whose sum is σ = 332549148131200. Its totient is φ = 49606311444480.

The previous prime is 131201130000379. The next prime is 131201130000439. The reversal of 131201130000400 is 4000031102131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6268857136 + ... + 6268878064.

Almost surely, 2^{131201130000400} is an apocalyptic number.

131201130000400 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 131201130000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166274574065600).

131201130000400 is an abundant number, since it is smaller than the sum of its proper divisors (201348018130800).

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

131201130000400 is a wasteful number, since it uses less digits than its factorization.

131201130000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22786 (or 22775 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131201130000400 its reverse (4000031102131), we get a palindrome (135201161102531).

The spelling of 131201130000400 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred thirty million, four hundred", and thus it is an aban number.