312131111010000 has 200 divisors, whose sum is σ = 1051409578486080. Its totient is φ = 79616051328000.

The previous prime is 312131111009999. The next prime is 312131111010001. The reversal of 312131111010000 is 10111131213.

It is an interprime number because it is at equal distance from previous prime (312131111009999) and next prime (312131111010001).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131111010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225491965 + ... + 226871964.

Almost surely, 2^{312131111010000} is an apocalyptic number.

312131111010000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312131111010000 is an abundant number, since it is smaller than the sum of its proper divisors (739278467476080).

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

312131111010000 is a wasteful number, since it uses less digits than its factorization.

312131111010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452363983 (or 452363962 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 312131111010000 its reverse (10111131213), we get a palindrome (312141222141213).

The spelling of 312131111010000 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred eleven million, ten thousand".