312142202241213 has 16 divisors (see below), whose sum is σ = 452581380676800. Its totient is φ = 190560581335296.

The previous prime is 312142202241209. The next prime is 312142202241251.

312142202241213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312142202241213 - 2² = 312142202241209 is a prime.

It is a super-2 number, since 2×312142202241213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312142202241253) 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, 82708583763 + ... + 82708587536.

It is an arithmetic number, because the mean of its divisors is an integer number (28286336292300).

Almost surely, 2^{312142202241213} is an apocalyptic number.

It is an amenable number.

312142202241213 is a deficient number, since it is larger than the sum of its proper divisors (140439178435587).

312142202241213 is a wasteful number, since it uses less digits than its factorization.

312142202241213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165417171356.

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

It can be divided in two parts, 31214220 and 2241213, that added together give a palindrome (33455433).

The spelling of 312142202241213 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred two million, two hundred forty-one thousand, two hundred thirteen".