312432101234213 has 16 divisors (see below), whose sum is σ = 325532640683520. Its totient is φ = 299520580396800.

The previous prime is 312432101234203. The next prime is 312432101234249.

312432101234213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312432101234213 - 2³⁸ = 312157223327269 is a prime.

It is a super-2 number, since 2×312432101234213² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312432101234213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312432101234203) 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, 136885193 + ... + 139148913.

It is an arithmetic number, because the mean of its divisors is an integer number (20345790042720).

Almost surely, 2^{312432101234213} is an apocalyptic number.

It is an amenable number.

312432101234213 is a deficient number, since it is larger than the sum of its proper divisors (13100539449307).

312432101234213 is a wasteful number, since it uses less digits than its factorization.

312432101234213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305468.

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

It can be divided in two parts, 31243210 and 1234213, that added together give a palindrome (32477423).

The spelling of 312432101234213 in words is "three hundred twelve trillion, four hundred thirty-two billion, one hundred one million, two hundred thirty-four thousand, two hundred thirteen".