313012213121 has 2 divisors, whose sum is σ = 313012213122. Its totient is φ = 313012213120.

The previous prime is 313012213093. The next prime is 313012213147. The reversal of 313012213121 is 121312210313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213847054096 + 99165159025 = 462436^2 + 314905^2 .

It is a cyclic number.

It is not a de Polignac number, because 313012213121 - 2²⁶ = 312945104257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313012213093 and 313012213102.

It is not a weakly prime, because it can be changed into another prime (313012213021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156506106560 + 156506106561.

It is an arithmetic number, because the mean of its divisors is an integer number (156506106561).

Almost surely, 2^313012213121 is an apocalyptic number.

It is an amenable number.

313012213121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313012213121 is an equidigital number, since it uses as much as digits as its factorization.

313012213121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 313012213121 its reverse (121312210313), we get a palindrome (434324423434).

It can be divided in two parts, 31301 and 2213121, that added together give a palindrome (2244422).

The spelling of 313012213121 in words is "three hundred thirteen billion, twelve million, two hundred thirteen thousand, one hundred twenty-one".