2013033111013 has 2 divisors, whose sum is σ = 2013033111014. Its totient is φ = 2013033111012.

The previous prime is 2013033110941. The next prime is 2013033111041. The reversal of 2013033111013 is 3101113303102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1098603748449 + 914429362564 = 1048143^2 + 956258^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013033111013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013033151013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006516555506 + 1006516555507.

It is an arithmetic number, because the mean of its divisors is an integer number (1006516555507).

Almost surely, 2^{2013033111013} is an apocalyptic number.

It is an amenable number.

2013033111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013033111013 is an equidigital number, since it uses as much as digits as its factorization.

2013033111013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 2013033111013 its reverse (3101113303102), we get a palindrome (5114146414115).

The spelling of 2013033111013 in words is "two trillion, thirteen billion, thirty-three million, one hundred eleven thousand, thirteen".