20131013 has 16 divisors (see below), whose sum is σ = 24720000. Its totient is φ = 16341696.

The previous prime is 20130983. The next prime is 20131019. The reversal of 20131013 is 31013102.

It is not a de Polignac number, because 20131013 - 2⁶ = 20130949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20130985 and 20131003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131019) 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, 4973 + ... + 8061.

It is an arithmetic number, because the mean of its divisors is an integer number (1545000).

Almost surely, 2^20131013 is an apocalyptic number.

It is an amenable number.

20131013 is a deficient number, since it is larger than the sum of its proper divisors (4588987).

20131013 is an equidigital number, since it uses as much as digits as its factorization.

20131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 20131013 is about 4486.7597439578. The cubic root of 20131013 is about 272.0331788030.

Adding to 20131013 its reverse (31013102), we get a palindrome (51144115).

The spelling of 20131013 in words is "twenty million, one hundred thirty-one thousand, thirteen".