21021120401013 has 24 divisors (see below), whose sum is σ = 30520711749528. Its totient is φ = 13941690964992.

The previous prime is 21021120400991. The next prime is 21021120401023. The reversal of 21021120401013 is 31010402112012.

21021120401013 is a `hidden beast` number, since 21 + 0 + 211 + 20 + 401 + 0 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15654192945444 + 5366927455569 = 3956538^2 + 2316663^2 .

It is not a de Polignac number, because 21021120401013 - 2¹³ = 21021120392821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021120401023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19432045 + ... + 20485277.

It is an arithmetic number, because the mean of its divisors is an integer number (1271696322897).

Almost surely, 2^{21021120401013} is an apocalyptic number.

It is an amenable number.

21021120401013 is a deficient number, since it is larger than the sum of its proper divisors (9499591348515).

21021120401013 is a wasteful number, since it uses less digits than its factorization.

21021120401013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064693 (or 1064690 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21021120401013 its reverse (31010402112012), we get a palindrome (52031522513025).

The spelling of 21021120401013 in words is "twenty-one trillion, twenty-one billion, one hundred twenty million, four hundred one thousand, thirteen".