312240242042213 has 8 divisors (see below), whose sum is σ = 316052456054400. Its totient is φ = 308434781289888.

The previous prime is 312240242042171. The next prime is 312240242042263.

312240242042213 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312240242042213 - 2³⁶ = 312171522565477 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 312240242042213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312240242042263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1688221931 + ... + 1688406872.

It is an arithmetic number, because the mean of its divisors is an integer number (39506557006800).

Almost surely, 2^{312240242042213} is an apocalyptic number.

It is an amenable number.

312240242042213 is a deficient number, since it is larger than the sum of its proper divisors (3812214012187).

312240242042213 is a wasteful number, since it uses less digits than its factorization.

312240242042213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376629931.

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 312240242042213 in words is "three hundred twelve trillion, two hundred forty billion, two hundred forty-two million, forty-two thousand, two hundred thirteen".