131201404000400 has 30 divisors (see below), whose sum is σ = 315211373111922. Its totient is φ = 52480561600000.

The previous prime is 131201404000361. The next prime is 131201404000421. The reversal of 131201404000400 is 4000404102131.

It can be written as a sum of positive squares in 3 ways, for example, as 29831302934416 + 101370101065984 = 5461804^2 + 10068272^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 164001754601 + ... + 164001755400.

Almost surely, 2^{131201404000400} is an apocalyptic number.

131201404000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201404000400 is an abundant number, since it is smaller than the sum of its proper divisors (184009969111522).

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

131201404000400 is a wasteful number, since it uses less digits than its factorization.

131201404000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328003510019 (or 328003510008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 131201404000400 its reverse (4000404102131), we get a palindrome (135201808102531).

The spelling of 131201404000400 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, four hundred", and thus it is an aban number.