131402402202400 has 108 divisors (see below), whose sum is σ = 373159357651458. Its totient is φ = 45052252170240.

The previous prime is 131402402202371. The next prime is 131402402202433. The reversal of 131402402202400 is 4202204204131.

It can be written as a sum of positive squares in 3 ways, for example, as 71087359294224 + 60315042908176 = 8431332^2 + 7766276^2 .

It is a super-2 number, since 2×131402402202400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1676011849 + ... + 1676090248.

Almost surely, 2^{131402402202400} is an apocalyptic number.

131402402202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402402202400 is an abundant number, since it is smaller than the sum of its proper divisors (241756955449058).

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

131402402202400 is a wasteful number, since it uses less digits than its factorization.

131402402202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352102131 (or 3352102111 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 131402402202400 its reverse (4202204204131), we get a palindrome (135604606406531).

The spelling of 131402402202400 in words is "one hundred thirty-one trillion, four hundred two billion, four hundred two million, two hundred two thousand, four hundred".