21313323131100 has 1152 divisors, whose sum is σ = 85447208361984. Its totient is φ = 3958295040000.

The previous prime is 21313323131077. The next prime is 21313323131123. The reversal of 21313323131100 is 113132331312.

It is an interprime number because it is at equal distance from previous prime (21313323131077) and next prime (21313323131123).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2344437555 + ... + 2344446645.

Almost surely, 2^{21313323131100} is an apocalyptic number.

21313323131100 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 21313323131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42723604180992).

21313323131100 is an abundant number, since it is smaller than the sum of its proper divisors (64133885230884).

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

21313323131100 is a wasteful number, since it uses less digits than its factorization.

21313323131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 21313323131100 its reverse (113132331312), we get a palindrome (21426455462412).

The spelling of 21313323131100 in words is "twenty-one trillion, three hundred thirteen billion, three hundred twenty-three million, one hundred thirty-one thousand, one hundred".