131403010120400 has 60 divisors (see below), whose sum is σ = 315699215730444. Its totient is φ = 52560624000000.

The previous prime is 131403010120399. The next prime is 131403010120451. The reversal of 131403010120400 is 4021010304131.

It can be written as a sum of positive squares in 6 ways, for example, as 5519905904704 + 125883104215696 = 2349448^2 + 11219764^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 35434250 + ... + 38966550.

Almost surely, 2^{131403010120400} is an apocalyptic number.

131403010120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403010120400 is an abundant number, since it is smaller than the sum of its proper divisors (184296205610044).

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

131403010120400 is a wasteful number, since it uses less digits than its factorization.

131403010120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625320 (or 3625309 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131403010120400 its reverse (4021010304131), we get a palindrome (135424020424531).

The spelling of 131403010120400 in words is "one hundred thirty-one trillion, four hundred three billion, ten million, one hundred twenty thousand, four hundred".