312131101201000 has 32 divisors (see below), whose sum is σ = 730386776812680. Its totient is φ = 124852440480000.

The previous prime is 312131101200979. The next prime is 312131101201013. The reversal of 312131101201000 is 102101131213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57496763006244 + 254634338194756 = 7582662^2 + 15957266^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156065549601 + ... + 156065551600.

Almost surely, 2^{312131101201000} is an apocalyptic number.

It is an amenable number.

312131101201000 is an abundant number, since it is smaller than the sum of its proper divisors (418255675611680).

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

312131101201000 is a wasteful number, since it uses less digits than its factorization.

312131101201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312131101222 (or 312131101208 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 312131101201000 its reverse (102101131213), we get a palindrome (312233202332213).

The spelling of 312131101201000 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred one million, two hundred one thousand".