13100013 has 12 divisors (see below), whose sum is σ = 20035548. Its totient is φ = 8219520.

The previous prime is 13099991. The next prime is 13100023. The reversal of 13100013 is 31000131.

It can be written as a sum of positive squares in 2 ways, for example, as 11309769 + 1790244 = 3363^2 + 1338^2 .

It is not a de Polignac number, because 13100013 - 2⁹ = 13099501 is a prime.

It is a super-2 number, since 2×13100013² = 343220681200338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13099968 and 13100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100023) 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, 42658 + ... + 42963.

It is an arithmetic number, because the mean of its divisors is an integer number (1669629).

Almost surely, 2^13100013 is an apocalyptic number.

It is an amenable number.

13100013 is a deficient number, since it is larger than the sum of its proper divisors (6935535).

13100013 is a wasteful number, since it uses less digits than its factorization.

13100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85644 (or 85641 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 13100013 is about 3619.3940100520. The cubic root of 13100013 is about 235.7349137398.

Adding to 13100013 its reverse (31000131), we get a palindrome (44100144).

The spelling of 13100013 in words is "thirteen million, one hundred thousand, thirteen".