20131020013 has 8 divisors (see below), whose sum is σ = 21878456600. Its totient is φ = 18411997248.

The previous prime is 20131020001. The next prime is 20131020031. The reversal of 20131020013 is 31002013102.

It can be written as a sum of positive squares in 4 ways, for example, as 2710451844 + 17420568169 = 52062^2 + 131987^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20131020013 - 2⁹ = 20131019501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 20131019975 and 20131020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131020053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7101978 + ... + 7104811.

It is an arithmetic number, because the mean of its divisors is an integer number (2734807075).

Almost surely, 2^20131020013 is an apocalyptic number.

It is an amenable number.

20131020013 is a deficient number, since it is larger than the sum of its proper divisors (1747436587).

20131020013 is a wasteful number, since it uses less digits than its factorization.

20131020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14206911.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 20131020013 its reverse (31002013102), we get a palindrome (51133033115).

The spelling of 20131020013 in words is "twenty billion, one hundred thirty-one million, twenty thousand, thirteen".