312133012313310 has 128 divisors (see below), whose sum is σ = 847961774392320. Its totient is φ = 81688045104000.

The previous prime is 312133012313299. The next prime is 312133012313323. The reversal of 312133012313310 is 13313210331213.

312133012313310 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 30 + 1 + 2 + 313 + 310 = 666.

It is a super-2 number, since 2×312133012313310² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42736261 + ... + 49504080.

It is an arithmetic number, because the mean of its divisors is an integer number (6624701362440).

Almost surely, 2^{312133012313310} is an apocalyptic number.

312133012313310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312133012313310 is an abundant number, since it is smaller than the sum of its proper divisors (535828762079010).

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

312133012313310 is a wasteful number, since it uses less digits than its factorization.

312133012313310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92240591 (or 92240585 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 312133012313310 its reverse (13313210331213), we get a palindrome (325446222644523).

The spelling of 312133012313310 in words is "three hundred twelve trillion, one hundred thirty-three billion, twelve million, three hundred thirteen thousand, three hundred ten".