13013031 has 16 divisors (see below), whose sum is σ = 18160128. Its totient is φ = 8280000.

The previous prime is 13013027. The next prime is 13013057. The reversal of 13013031 is 13031031.

It is not a de Polignac number, because 13013031 - 2² = 13013027 is a prime.

It is a super-2 number, since 2×13013031² = 338677951613922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13012998 and 13013016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4656 + ... + 6906.

It is an arithmetic number, because the mean of its divisors is an integer number (1135008).

Almost surely, 2^13013031 is an apocalyptic number.

13013031 is a deficient number, since it is larger than the sum of its proper divisors (5147097).

13013031 is a wasteful number, since it uses less digits than its factorization.

13013031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 13013031 is about 3607.3578974091. The cubic root of 13013031 is about 235.2120072599.

Adding to 13013031 its reverse (13031031), we get a palindrome (26044062).

The spelling of 13013031 in words is "thirteen million, thirteen thousand, thirty-one".