13010211310113 has 12 divisors (see below), whose sum is σ = 18807969146148. Its totient is φ = 8666347269120.

The previous prime is 13010211310099. The next prime is 13010211310127. The reversal of 13010211310113 is 31101311201031.

13010211310113 is a `hidden beast` number, since 1 + 30 + 1 + 0 + 211 + 310 + 113 = 666.

It is an interprime number because it is at equal distance from previous prime (13010211310099) and next prime (13010211310127).

It can be written as a sum of positive squares in 2 ways, for example, as 3402021624849 + 9608189685264 = 1844457^2 + 3099708^2 .

It is not a de Polignac number, because 13010211310113 - 2²¹ = 13010209212961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13010211310183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 593899908 + ... + 593921813.

It is an arithmetic number, because the mean of its divisors is an integer number (1567330762179).

Almost surely, 2^{13010211310113} is an apocalyptic number.

It is an amenable number.

13010211310113 is a deficient number, since it is larger than the sum of its proper divisors (5797757836035).

13010211310113 is a wasteful number, since it uses less digits than its factorization.

13010211310113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187822944 (or 1187822941 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13010211310113 its reverse (31101311201031), we get a palindrome (44111522511144).

The spelling of 13010211310113 in words is "thirteen trillion, ten billion, two hundred eleven million, three hundred ten thousand, one hundred thirteen".