21313213100 has 144 divisors (see below), whose sum is σ = 48349405440. Its totient is φ = 8149881600.

The previous prime is 21313213099. The next prime is 21313213109. The reversal of 21313213100 is 131231312.

It is a super-2 number, since 2×21313213100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21313213109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34768394 + ... + 34769006.

It is an arithmetic number, because the mean of its divisors is an integer number (335759760).

Almost surely, 2^21313213100 is an apocalyptic number.

21313213100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21313213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24174702720).

21313213100 is an abundant number, since it is smaller than the sum of its proper divisors (27036192340).

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

21313213100 is a wasteful number, since it uses less digits than its factorization.

21313213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 21313213100 its reverse (131231312), we get a palindrome (21444444412).

The spelling of 21313213100 in words is "twenty-one billion, three hundred thirteen million, two hundred thirteen thousand, one hundred".