13003013233003 has 2 divisors, whose sum is σ = 13003013233004. Its totient is φ = 13003013233002.

The previous prime is 13003013232971. The next prime is 13003013233027. The reversal of 13003013233003 is 30033231030031.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13003013233003 - 2⁵ = 13003013232971 is a prime.

It is a super-2 number, since 2×13003013233003² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13003013233303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501506616501 + 6501506616502.

It is an arithmetic number, because the mean of its divisors is an integer number (6501506616502).

Almost surely, 2^{13003013233003} is an apocalyptic number.

13003013233003 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003013233003 is an equidigital number, since it uses as much as digits as its factorization.

13003013233003 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 22.

Adding to 13003013233003 its reverse (30033231030031), we get a palindrome (43036244263034).

The spelling of 13003013233003 in words is "thirteen trillion, three billion, thirteen million, two hundred thirty-three thousand, three".