312123404321213 has 16 divisors (see below), whose sum is σ = 330922740835440. Its totient is φ = 293372872089600.

The previous prime is 312123404321147. The next prime is 312123404321221.

312123404321213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 137554357919449 + 174569046401764 = 11728357^2 + 13212458^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312123404321213 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312123404321213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312123404321263) 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, 1189050743 + ... + 1189313211.

It is an arithmetic number, because the mean of its divisors is an integer number (20682671302215).

Almost surely, 2^{312123404321213} is an apocalyptic number.

It is an amenable number.

312123404321213 is a deficient number, since it is larger than the sum of its proper divisors (18799336514227).

312123404321213 is a wasteful number, since it uses less digits than its factorization.

312123404321213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355168.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 31212340 and 4321213, that added together give a palindrome (35533553).

The spelling of 312123404321213 in words is "three hundred twelve trillion, one hundred twenty-three billion, four hundred four million, three hundred twenty-one thousand, two hundred thirteen".