312133121313 has 16 divisors (see below), whose sum is σ = 448326372480. Its totient is φ = 192023967744.

The previous prime is 312133121309. The next prime is 312133121317. The reversal of 312133121313 is 313121331213.

It is an interprime number because it is at equal distance from previous prime (312133121309) and next prime (312133121317).

It is not a de Polignac number, because 312133121313 - 2² = 312133121309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312133121317) by changing a digit.

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, 1076256 + ... + 1335137.

It is an arithmetic number, because the mean of its divisors is an integer number (28020398280).

Almost surely, 2^312133121313 is an apocalyptic number.

It is an amenable number.

312133121313 is a deficient number, since it is larger than the sum of its proper divisors (136193251167).

312133121313 is a wasteful number, since it uses less digits than its factorization.

312133121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414728.

The product of its digits is 972, while the sum is 24.

Adding to 312133121313 its reverse (313121331213), we get a palindrome (625254452526).

The spelling of 312133121313 in words is "three hundred twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred thirteen".