312242101242213 has 32 divisors (see below), whose sum is σ = 441371395325952. Its totient is φ = 196000288315200.

The previous prime is 312242101242173. The next prime is 312242101242223.

312242101242213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312242101242213 - 2⁹ = 312242101241701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312242101242223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470435020 + ... + 471098282.

It is an arithmetic number, because the mean of its divisors is an integer number (13792856103936).

Almost surely, 2^{312242101242213} is an apocalyptic number.

It is an amenable number.

312242101242213 is a deficient number, since it is larger than the sum of its proper divisors (129129294083739).

312242101242213 is a wasteful number, since it uses less digits than its factorization.

312242101242213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800145.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 31224210 and 1242213, that added together give a palindrome (32466423).

The spelling of 312242101242213 in words is "three hundred twelve trillion, two hundred forty-two billion, one hundred one million, two hundred forty-two thousand, two hundred thirteen".