312352141253213 has 4 divisors (see below), whose sum is σ = 312352180333248. Its totient is φ = 312352102173180.

The previous prime is 312352141253171. The next prime is 312352141253381.

312352141253213 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 312352141253213 - 2⁶ = 312352141253149 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 (312352141553213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2731403 + ... + 25142888.

It is an arithmetic number, because the mean of its divisors is an integer number (78088045083312).

Almost surely, 2^{312352141253213} is an apocalyptic number.

It is an amenable number.

312352141253213 is a deficient number, since it is larger than the sum of its proper divisors (39080035).

312352141253213 is a wasteful number, since it uses less digits than its factorization.

312352141253213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39080034.

The product of its digits is 129600, while the sum is 38.

The spelling of 312352141253213 in words is "three hundred twelve trillion, three hundred fifty-two billion, one hundred forty-one million, two hundred fifty-three thousand, two hundred thirteen".