1313312002033 has 2 divisors, whose sum is σ = 1313312002034. Its totient is φ = 1313312002032.

The previous prime is 1313312001977. The next prime is 1313312002039. The reversal of 1313312002033 is 3302002133131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1031630238864 + 281681763169 = 1015692^2 + 530737^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313312002033 - 2²⁹ = 1312775131121 is a prime.

It is a super-2 number, since 2×1313312002033² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313312001995 and 1313312002013.

It is not a weakly prime, because it can be changed into another prime (1313312002039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656656001016 + 656656001017.

It is an arithmetic number, because the mean of its divisors is an integer number (656656001017).

Almost surely, 2^{1313312002033} is an apocalyptic number.

It is an amenable number.

1313312002033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313312002033 is an equidigital number, since it uses as much as digits as its factorization.

1313312002033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1313312002033 its reverse (3302002133131), we get a palindrome (4615314135164).

The spelling of 1313312002033 in words is "one trillion, three hundred thirteen billion, three hundred twelve million, two thousand, thirty-three".