131210202010400 has 72 divisors (see below), whose sum is σ = 320468503210884. Its totient is φ = 52459241472000.

The previous prime is 131210202010399. The next prime is 131210202010421. The reversal of 131210202010400 is 4010202012131.

131210202010400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 309968335504 + 130900233674896 = 556748^2 + 11441164^2 .

It is a super-2 number, since 2×131210202010400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37120001 + ... + 40500800.

Almost surely, 2^{131210202010400} is an apocalyptic number.

131210202010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131210202010400 is an abundant number, since it is smaller than the sum of its proper divisors (189258301200484).

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

131210202010400 is a wasteful number, since it uses less digits than its factorization.

131210202010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77622934 (or 77622921 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 131210202010400 its reverse (4010202012131), we get a palindrome (135220404022531).

The spelling of 131210202010400 in words is "one hundred thirty-one trillion, two hundred ten billion, two hundred two million, ten thousand, four hundred".