312131100000400 has 240 divisors, whose sum is σ = 837700265001600. Its totient is φ = 111069933281280.

The previous prime is 312131100000389. The next prime is 312131100000409. The reversal of 312131100000400 is 4000001131213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (312131100000409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53967234 + ... + 59470366.

It is an arithmetic number, because the mean of its divisors is an integer number (3490417770840).

Almost surely, 2^{312131100000400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312131100000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418850132500800).

312131100000400 is an abundant number, since it is smaller than the sum of its proper divisors (525569165001200).

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

312131100000400 is a wasteful number, since it uses less digits than its factorization.

312131100000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503626 (or 5503615 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312131100000400 its reverse (4000001131213), we get a palindrome (316131101131613).

The spelling of 312131100000400 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred million, four hundred", and thus it is an aban number.