21101010013 has 2 divisors, whose sum is σ = 21101010014. Its totient is φ = 21101010012.

The previous prime is 21101009999. The next prime is 21101010023. The reversal of 21101010013 is 31001010112.

It is an a-pointer prime, because the next prime (21101010023) can be obtained adding 21101010013 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21060394884 + 40615129 = 145122^2 + 6373^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101010013 - 2⁵ = 21101009981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21101010023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550505006 + 10550505007.

It is an arithmetic number, because the mean of its divisors is an integer number (10550505007).

Almost surely, 2^21101010013 is an apocalyptic number.

It is an amenable number.

21101010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101010013 is an equidigital number, since it uses as much as digits as its factorization.

21101010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 21101010013 its reverse (31001010112), we get a palindrome (52102020125).

Subtracting 21101010013 from its reverse (31001010112), we obtain a palindrome (9900000099).

The spelling of 21101010013 in words is "twenty-one billion, one hundred one million, ten thousand, thirteen".