21313321013100 has 144 divisors (see below), whose sum is σ = 64295284838400. Its totient is φ = 5444358232320.

The previous prime is 21313321013063. The next prime is 21313321013141. The reversal of 21313321013100 is 131012331312.

It is a happy number.

It is a super-2 number, since 2×21313321013100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8540010 + ... + 10749809.

It is an arithmetic number, because the mean of its divisors is an integer number (446495033600).

Almost surely, 2^{21313321013100} is an apocalyptic number.

21313321013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21313321013100 is an abundant number, since it is smaller than the sum of its proper divisors (42981963825300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21313321013100 is a wasteful number, since it uses less digits than its factorization.

21313321013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19289992 (or 19289985 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 21313321013100 its reverse (131012331312), we get a palindrome (21444333344412).

The spelling of 21313321013100 in words is "twenty-one trillion, three hundred thirteen billion, three hundred twenty-one million, thirteen thousand, one hundred".