313412211132121 has 2 divisors, whose sum is σ = 313412211132122. Its totient is φ = 313412211132120.

The previous prime is 313412211132109. The next prime is 313412211132193. The reversal of 313412211132121 is 121231112214313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305835740185600 + 7576470946521 = 17488160^2 + 2752539^2 .

It is a cyclic number.

It is not a de Polignac number, because 313412211132121 - 2⁹ = 313412211131609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313412211132121.

It is not a weakly prime, because it can be changed into another prime (313412211172121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156706105566060 + 156706105566061.

It is an arithmetic number, because the mean of its divisors is an integer number (156706105566061).

Almost surely, 2^{313412211132121} is an apocalyptic number.

It is an amenable number.

313412211132121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313412211132121 is an equidigital number, since it uses as much as digits as its factorization.

313412211132121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 28.

Adding to 313412211132121 its reverse (121231112214313), we get a palindrome (434643323346434).

The spelling of 313412211132121 in words is "three hundred thirteen trillion, four hundred twelve billion, two hundred eleven million, one hundred thirty-two thousand, one hundred twenty-one".