12157518083213 has 8 divisors (see below), whose sum is σ = 12180353635896. Its totient is φ = 12134683872000.

The previous prime is 12157518083201. The next prime is 12157518083309. The reversal of 12157518083213 is 31238081575121.

12157518083213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1220753185129 + 10936764898084 = 1104877^2 + 3307078^2 .

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 12157518083213 - 2²⁴ = 12157501305997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12157518085213) 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, 18834545 + ... + 19469337.

It is an arithmetic number, because the mean of its divisors is an integer number (1522544204487).

Almost surely, 2^{12157518083213} is an apocalyptic number.

It is an amenable number.

12157518083213 is a deficient number, since it is larger than the sum of its proper divisors (22835552683).

12157518083213 is an equidigital number, since it uses as much as digits as its factorization.

12157518083213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670735.

The product of its (nonzero) digits is 403200, while the sum is 47.

The spelling of 12157518083213 in words is "twelve trillion, one hundred fifty-seven billion, five hundred eighteen million, eighty-three thousand, two hundred thirteen".