21132313011000 has 384 divisors, whose sum is σ = 72806350443840. Its totient is φ = 5526568320000.

The previous prime is 21132313010989. The next prime is 21132313011011. The reversal of 21132313011000 is 11031323112.

21132313011000 is a `hidden beast` number, since 21 + 13 + 231 + 301 + 100 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21132313010989) and next prime (21132313011011).

It is a super-2 number, since 2×21132313011000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284552775 + ... + 1284569225.

Almost surely, 2^{21132313011000} is an apocalyptic number.

21132313011000 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 21132313011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36403175221920).

21132313011000 is an abundant number, since it is smaller than the sum of its proper divisors (51674037432840).

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

21132313011000 is a wasteful number, since it uses less digits than its factorization.

21132313011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19224 (or 19207 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21132313011000 its reverse (11031323112), we get a palindrome (21143344334112).

The spelling of 21132313011000 in words is "twenty-one trillion, one hundred thirty-two billion, three hundred thirteen million, eleven thousand".