21132200120031 has 288 divisors, whose sum is σ = 43494408921600. Its totient is φ = 9546685401600.

The previous prime is 21132200120021. The next prime is 21132200120131. The reversal of 21132200120031 is 13002100223112.

21132200120031 is a `hidden beast` number, since 211 + 3 + 220 + 0 + 1 + 200 + 31 = 666.

It is not a de Polignac number, because 21132200120031 - 2¹⁷ = 21132199988959 is a prime.

It is a super-2 number, since 2×21132200120031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21132200119986 and 21132200120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132200120011) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 588639120 + ... + 588675018.

It is an arithmetic number, because the mean of its divisors is an integer number (151022253200).

Almost surely, 2^{21132200120031} is an apocalyptic number.

21132200120031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21132200120031 is an abundant number, since it is smaller than the sum of its proper divisors (22362208801569).

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

21132200120031 is a wasteful number, since it uses less digits than its factorization.

21132200120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36155 (or 36133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21132200120031 its reverse (13002100223112), we get a palindrome (34134300343143).

The spelling of 21132200120031 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred million, one hundred twenty thousand, thirty-one".