3013233111313 has 2 divisors, whose sum is σ = 3013233111314. Its totient is φ = 3013233111312.

The previous prime is 3013233111293. The next prime is 3013233111323. The reversal of 3013233111313 is 3131113323103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1985864368849 + 1027368742464 = 1409207^2 + 1013592^2 .

It is a cyclic number.

It is not a de Polignac number, because 3013233111313 - 2⁵ = 3013233111281 is a prime.

It is a super-2 number, since 2×3013233111313² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3013233111323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1506616555656 + 1506616555657.

It is an arithmetic number, because the mean of its divisors is an integer number (1506616555657).

Almost surely, 2^{3013233111313} is an apocalyptic number.

It is an amenable number.

3013233111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3013233111313 is an equidigital number, since it uses as much as digits as its factorization.

3013233111313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 3013233111313 its reverse (3131113323103), we get a palindrome (6144346434416).

The spelling of 3013233111313 in words is "three trillion, thirteen billion, two hundred thirty-three million, one hundred eleven thousand, three hundred thirteen".