21010100013 has 12 divisors (see below), whose sum is σ = 34683339808. Its totient is φ = 12005771400.

The previous prime is 21010099987. The next prime is 21010100021. The reversal of 21010100013 is 31000101012.

It is not a de Polignac number, because 21010100013 - 2⁶ = 21010099949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21010099968 and 21010100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010150013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166746763 + ... + 166746888.

Almost surely, 2^21010100013 is an apocalyptic number.

It is an amenable number.

21010100013 is a deficient number, since it is larger than the sum of its proper divisors (13673239795).

21010100013 is a wasteful number, since it uses less digits than its factorization.

21010100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333493664 (or 333493661 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 21010100013 its reverse (31000101012), we get a palindrome (52010201025).

Subtracting 21010100013 from its reverse (31000101012), we obtain a palindrome (9990000999).

The spelling of 21010100013 in words is "twenty-one billion, ten million, one hundred thousand, thirteen".