131345352040400 has 60 divisors (see below), whose sum is σ = 317300618442444. Its totient is φ = 52247874816000.

The previous prime is 131345352040393. The next prime is 131345352040423. The reversal of 131345352040400 is 4040253543131.

It can be written as a sum of positive squares in 6 ways, for example, as 17967662813584 + 113377689226816 = 4238828^2 + 10647896^2 .

It is a congruent number.

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, 907008761 + ... + 907153560.

Almost surely, 2^{131345352040400} is an apocalyptic number.

131345352040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131345352040400 is an abundant number, since it is smaller than the sum of its proper divisors (185955266402044).

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

131345352040400 is a wasteful number, since it uses less digits than its factorization.

131345352040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814162520 (or 1814162509 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 131345352040400 in words is "one hundred thirty-one trillion, three hundred forty-five billion, three hundred fifty-two million, forty thousand, four hundred".