13011013333093 has 2 divisors, whose sum is σ = 13011013333094. Its totient is φ = 13011013333092.

The previous prime is 13011013333069. The next prime is 13011013333117. The reversal of 13011013333093 is 39033331011031.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (13011013333069) and next prime (13011013333117).

It can be written as a sum of positive squares in only one way, i.e., 11412627114564 + 1598386218529 = 3378258^2 + 1264273^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13011013333093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13011013333693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6505506666546 + 6505506666547.

It is an arithmetic number, because the mean of its divisors is an integer number (6505506666547).

Almost surely, 2^{13011013333093} is an apocalyptic number.

It is an amenable number.

13011013333093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13011013333093 is an equidigital number, since it uses as much as digits as its factorization.

13011013333093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6561, while the sum is 31.

The spelling of 13011013333093 in words is "thirteen trillion, eleven billion, thirteen million, three hundred thirty-three thousand, ninety-three".