13310413645113 has 24 divisors (see below), whose sum is σ = 20705804679560. Its totient is φ = 8190740217600.

The previous prime is 13310413645103. The next prime is 13310413645117. The reversal of 13310413645113 is 31154631401331.

13310413645113 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 4 + 1 + 3 + 645 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 955551744 + 13309458093369 = 30912^2 + 3648213^2 .

It is not a de Polignac number, because 13310413645113 - 2¹³ = 13310413636921 is a prime.

It is a super-2 number, since 2×13310413645113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13310413645117) 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, 1450173 + ... + 5359461.

Almost surely, 2^{13310413645113} is an apocalyptic number.

13310413645113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13310413645113 is a deficient number, since it is larger than the sum of its proper divisors (7395391034447).

13310413645113 is a wasteful number, since it uses less digits than its factorization.

13310413645113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938409 (or 3938406 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13310413645113 in words is "thirteen trillion, three hundred ten billion, four hundred thirteen million, six hundred forty-five thousand, one hundred thirteen".