312345363543213 has 1024 divisors, whose sum is σ = 623052878708736. Its totient is φ = 135127719936000.

The previous prime is 312345363543127. The next prime is 312345363543217.

312345363543213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312345363543213 - 2²⁴ = 312345346765997 is a prime.

It is a super-2 number, since 2×312345363543213² (a number of 30 digits) contains 22 as substring.

Its product of digits (6998400) is a multiple of the sum of its prime divisors (405).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312345363543217) by changing a digit.

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 1023 ways as a sum of consecutive naturals, for example, 2279893164481 + ... + 2279893164617.

It is an arithmetic number, because the mean of its divisors is an integer number (608450076864).

Almost surely, 2^{312345363543213} is an apocalyptic number.

312345363543213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312345363543213 is a deficient number, since it is larger than the sum of its proper divisors (310707515165523).

312345363543213 is a wasteful number, since it uses less digits than its factorization.

312345363543213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 405 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 48.

It can be divided in two parts, 3123453 and 63543213, that added together give a palindrome (66666666).

The spelling of 312345363543213 in words is "three hundred twelve trillion, three hundred forty-five billion, three hundred sixty-three million, five hundred forty-three thousand, two hundred thirteen".