312311313210000 has 200 divisors, whose sum is σ = 1085735066563840. Its totient is φ = 76876630848000.

The previous prime is 312311313209981. The next prime is 312311313210007. The reversal of 312311313210000 is 12313113213.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (312311313210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 400009120 + ... + 400789119.

Almost surely, 2^{312311313210000} is an apocalyptic number.

312311313210000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312311313210000 is an abundant number, since it is smaller than the sum of its proper divisors (773423753353840).

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

312311313210000 is a wasteful number, since it uses less digits than its factorization.

312311313210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800798283 (or 800798262 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 312311313210000 its reverse (12313113213), we get a palindrome (312323626323213).

The spelling of 312311313210000 in words is "three hundred twelve trillion, three hundred eleven billion, three hundred thirteen million, two hundred ten thousand".