13331311013011 has 16 divisors (see below), whose sum is σ = 14391148584960. Its totient is φ = 12311523655200.

The previous prime is 13331311013003. The next prime is 13331311013017. The reversal of 13331311013011 is 11031011313331.

13331311013011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13331311013011 - 2³ = 13331311013003 is a prime.

It is a super-2 number, since 2×13331311013011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331311013017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18557626 + ... + 19262608.

It is an arithmetic number, because the mean of its divisors is an integer number (899446786560).

Almost surely, 2^{13331311013011} is an apocalyptic number.

13331311013011 is a deficient number, since it is larger than the sum of its proper divisors (1059837571949).

13331311013011 is a wasteful number, since it uses less digits than its factorization.

13331311013011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733386.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 13331311013011 its reverse (11031011313331), we get a palindrome (24362322326342).

The spelling of 13331311013011 in words is "thirteen trillion, three hundred thirty-one billion, three hundred eleven million, thirteen thousand, eleven".