131411330400 has 288 divisors, whose sum is σ = 500775948288. Its totient is φ = 29304115200.

The previous prime is 131411330399. The next prime is 131411330419. The reversal of 131411330400 is 4033114131.

131411330400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 593409 + ... + 784191.

It is an arithmetic number, because the mean of its divisors is an integer number (1738805376).

Almost surely, 2^131411330400 is an apocalyptic number.

131411330400 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 131411330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250387974144).

131411330400 is an abundant number, since it is smaller than the sum of its proper divisors (369364617888).

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

131411330400 is a wasteful number, since it uses less digits than its factorization.

131411330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190854 (or 190841 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131411330400 its reverse (4033114131), we get a palindrome (135444444531).

The spelling of 131411330400 in words is "one hundred thirty-one billion, four hundred eleven million, three hundred thirty thousand, four hundred".