312132103013400 has 96 divisors (see below), whose sum is σ = 968255025480000. Its totient is φ = 83179700060800.

The previous prime is 312132103013389. The next prime is 312132103013407. The reversal of 312132103013400 is 4310301231213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132103013407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172623006 + ... + 174421805.

It is an arithmetic number, because the mean of its divisors is an integer number (10085989848750).

Almost surely, 2^{312132103013400} is an apocalyptic number.

312132103013400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312132103013400 is an abundant number, since it is smaller than the sum of its proper divisors (656122922466600).

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

312132103013400 is a wasteful number, since it uses less digits than its factorization.

312132103013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347046329 (or 347046320 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 312132103013400 its reverse (4310301231213), we get a palindrome (316442404244613).

The spelling of 312132103013400 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred three million, thirteen thousand, four hundred".