13002112313011 has 2 divisors, whose sum is σ = 13002112313012. Its totient is φ = 13002112313010.

The previous prime is 13002112312997. The next prime is 13002112313087. The reversal of 13002112313011 is 11031321120031.

13002112313011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13002112313011 - 2¹⁵ = 13002112280243 is a prime.

It is a super-2 number, since 2×13002112313011² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13002112313011.

It is not a weakly prime, because it can be changed into another prime (13002112313611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501056156505 + 6501056156506.

It is an arithmetic number, because the mean of its divisors is an integer number (6501056156506).

Almost surely, 2^{13002112313011} is an apocalyptic number.

13002112313011 is a deficient number, since it is larger than the sum of its proper divisors (1).

13002112313011 is an equidigital number, since it uses as much as digits as its factorization.

13002112313011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13002112313011 its reverse (11031321120031), we get a palindrome (24033433433042).

The spelling of 13002112313011 in words is "thirteen trillion, two billion, one hundred twelve million, three hundred thirteen thousand, eleven".