312312113000 has 64 divisors (see below), whose sum is σ = 730990774800. Its totient is φ = 124894003200.

The previous prime is 312312112963. The next prime is 312312113053. The reversal of 312312113000 is 311213213.

It can be written as a sum of positive squares in 8 ways, for example, as 58390856164 + 253921256836 = 241642^2 + 503906^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312312113000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4252592 + ... + 4325408.

Almost surely, 2^312312113000 is an apocalyptic number.

It is an amenable number.

312312113000 is an abundant number, since it is smaller than the sum of its proper divisors (418678661800).

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

312312113000 is a wasteful number, since it uses less digits than its factorization.

312312113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77127 (or 77113 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 312312113000 its reverse (311213213), we get a palindrome (312623326213).

The spelling of 312312113000 in words is "three hundred twelve billion, three hundred twelve million, one hundred thirteen thousand".