131045402204400 has 240 divisors, whose sum is σ = 438127074072576. Its totient is φ = 33418933109760.

The previous prime is 131045402204383. The next prime is 131045402204407. The reversal of 131045402204400 is 4402204540131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131045402204407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129298014 + ... + 130307586.

Almost surely, 2^{131045402204400} is an apocalyptic number.

131045402204400 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 131045402204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219063537036288).

131045402204400 is an abundant number, since it is smaller than the sum of its proper divisors (307081671868176).

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

131045402204400 is a wasteful number, since it uses less digits than its factorization.

131045402204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014320 (or 1014309 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 131045402204400 its reverse (4402204540131), we get a palindrome (135447606744531).

The spelling of 131045402204400 in words is "one hundred thirty-one trillion, forty-five billion, four hundred two million, two hundred four thousand, four hundred".