131302868400 has 960 divisors, whose sum is σ = 532988743680. Its totient is φ = 30412800000.

The previous prime is 131302868381. The next prime is 131302868413. The reversal of 131302868400 is 4868203131.

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 191 ways as a sum of consecutive naturals, for example, 371962624 + ... + 371962976.

It is an arithmetic number, because the mean of its divisors is an integer number (555196608).

Almost surely, 2^131302868400 is an apocalyptic number.

131302868400 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 131302868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266494371840).

131302868400 is an abundant number, since it is smaller than the sum of its proper divisors (401685875280).

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

131302868400 is a wasteful number, since it uses less digits than its factorization.

131302868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 131302868400 in words is "one hundred thirty-one billion, three hundred two million, eight hundred sixty-eight thousand, four hundred".