1313120311933 has 2 divisors, whose sum is σ = 1313120311934. Its totient is φ = 1313120311932.

The previous prime is 1313120311903. The next prime is 1313120311963. The reversal of 1313120311933 is 3391130213131.

It is a balanced prime because it is at equal distance from previous prime (1313120311903) and next prime (1313120311963).

It can be written as a sum of positive squares in only one way, i.e., 706899237529 + 606221074404 = 840773^2 + 778602^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313120311933 - 2⁹ = 1313120311421 is a prime.

It is a super-2 number, since 2×1313120311933² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313120311895 and 1313120311904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313120311903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656560155966 + 656560155967.

It is an arithmetic number, because the mean of its divisors is an integer number (656560155967).

Almost surely, 2^{1313120311933} is an apocalyptic number.

It is an amenable number.

1313120311933 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313120311933 is an equidigital number, since it uses as much as digits as its factorization.

1313120311933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 31.

The spelling of 1313120311933 in words is "one trillion, three hundred thirteen billion, one hundred twenty million, three hundred eleven thousand, nine hundred thirty-three".