312353353213 has 16 divisors (see below), whose sum is σ = 345965938560. Its totient is φ = 279619905600.

The previous prime is 312353353201. The next prime is 312353353231.

312353353213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312353353213 - 2¹³ = 312353345021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312353353513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406231 + ... + 888667.

It is an arithmetic number, because the mean of its divisors is an integer number (21622871160).

Almost surely, 2^312353353213 is an apocalyptic number.

It is an amenable number.

312353353213 is a deficient number, since it is larger than the sum of its proper divisors (33612585347).

312353353213 is a wasteful number, since it uses less digits than its factorization.

312353353213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483348.

The product of its digits is 72900, while the sum is 34.

It can be divided in two parts, 312353 and 353213, that added together give a palindrome (665566).

The spelling of 312353353213 in words is "three hundred twelve billion, three hundred fifty-three million, three hundred fifty-three thousand, two hundred thirteen".