312210121012513 has 2 divisors, whose sum is σ = 312210121012514. Its totient is φ = 312210121012512.

The previous prime is 312210121012501. The next prime is 312210121012631. The reversal of 312210121012513 is 315210121012213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306927694499904 + 5282426512609 = 17519352^2 + 2298353^2 .

It is a cyclic number.

It is not a de Polignac number, because 312210121012513 - 2⁵ = 312210121012481 is a prime.

It is a super-2 number, since 2×312210121012513² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312210121612513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156105060506256 + 156105060506257.

It is an arithmetic number, because the mean of its divisors is an integer number (156105060506257).

Almost surely, 2^{312210121012513} is an apocalyptic number.

It is an amenable number.

312210121012513 is a deficient number, since it is larger than the sum of its proper divisors (1).

312210121012513 is an equidigital number, since it uses as much as digits as its factorization.

312210121012513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 312210121012513 its reverse (315210121012213), we get a palindrome (627420242024726).

The spelling of 312210121012513 in words is "three hundred twelve trillion, two hundred ten billion, one hundred twenty-one million, twelve thousand, five hundred thirteen".