20413120013 has 16 divisors (see below), whose sum is σ = 24310378176. Its totient is φ = 16895226240.

The previous prime is 20413120009. The next prime is 20413120069. The reversal of 20413120013 is 31002131402.

It is a cyclic number.

It is not a de Polignac number, because 20413120013 - 2² = 20413120009 is a prime.

It is a super-2 number, since 2×20413120013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20413119973 and 20413120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413120613) 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, 967295 + ... + 988172.

It is an arithmetic number, because the mean of its divisors is an integer number (1519398636).

Almost surely, 2^20413120013 is an apocalyptic number.

It is an amenable number.

20413120013 is a deficient number, since it is larger than the sum of its proper divisors (3897258163).

20413120013 is a wasteful number, since it uses less digits than its factorization.

20413120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955564.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20413120013 its reverse (31002131402), we get a palindrome (51415251415).

The spelling of 20413120013 in words is "twenty billion, four hundred thirteen million, one hundred twenty thousand, thirteen".