20001020013 has 80 divisors (see below), whose sum is σ = 34262884656. Its totient is φ = 11518433280.

The previous prime is 20001020003. The next prime is 20001020059. The reversal of 20001020013 is 31002010002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9001834884 + 10999185129 = 94878^2 + 104877^2 .

It is not a de Polignac number, because 20001020013 - 2⁸ = 20001019757 is a prime.

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 = 20001019977 and 20001020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001020003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3236995 + ... + 3243167.

Almost surely, 2^20001020013 is an apocalyptic number.

It is an amenable number.

20001020013 is a deficient number, since it is larger than the sum of its proper divisors (14261864643).

20001020013 is a wasteful number, since it uses less digits than its factorization.

20001020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20001020013 its reverse (31002010002), we get a palindrome (51003030015).

The spelling of 20001020013 in words is "twenty billion, one million, twenty thousand, thirteen".