1033240413013 has 2 divisors, whose sum is σ = 1033240413014. Its totient is φ = 1033240413012.

The previous prime is 1033240412977. The next prime is 1033240413041. The reversal of 1033240413013 is 3103140423301.

1033240413013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 524417843889 + 508822569124 = 724167^2 + 713318^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033240413013 - 2²⁵ = 1033206858581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033240413043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516620206506 + 516620206507.

It is an arithmetic number, because the mean of its divisors is an integer number (516620206507).

Almost surely, 2^{1033240413013} is an apocalyptic number.

It is an amenable number.

1033240413013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033240413013 is an equidigital number, since it uses as much as digits as its factorization.

1033240413013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1033240413013 its reverse (3103140423301), we get a palindrome (4136380836314).

The spelling of 1033240413013 in words is "one trillion, thirty-three billion, two hundred forty million, four hundred thirteen thousand, thirteen".