13313131033113 has 24 divisors (see below), whose sum is σ = 20362201023528. Its totient is φ = 8352950740992.

The previous prime is 13313131033099. The next prime is 13313131033159. The reversal of 13313131033113 is 31133013131331.

13313131033113 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 1 + 310 + 331 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3840690613824 + 9472440419289 = 1959768^2 + 3077733^2 .

It is not a de Polignac number, because 13313131033113 - 2¹² = 13313131029017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13313131033193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324245 + ... + 5327277.

It is an arithmetic number, because the mean of its divisors is an integer number (848425042647).

Almost surely, 2^{13313131033113} is an apocalyptic number.

It is an amenable number.

13313131033113 is a deficient number, since it is larger than the sum of its proper divisors (7049069990415).

13313131033113 is a wasteful number, since it uses less digits than its factorization.

13313131033113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024793 (or 4024790 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 13313131033113 its reverse (31133013131331), we get a palindrome (44446144164444).

The spelling of 13313131033113 in words is "thirteen trillion, three hundred thirteen billion, one hundred thirty-one million, thirty-three thousand, one hundred thirteen".