21132313210107 has 32 divisors (see below), whose sum is σ = 34156650528000. Its totient is φ = 12806181155520.

The previous prime is 21132313210093. The next prime is 21132313210123. The reversal of 21132313210107 is 70101231323112.

21132313210107 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 231 + 321 + 0 + 107 = 666.

It is not a de Polignac number, because 21132313210107 - 2⁴ = 21132313210091 is a prime.

It is a super-2 number, since 2×21132313210107² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21132313210147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581757 + ... + 6527102.

It is an arithmetic number, because the mean of its divisors is an integer number (1067395329000).

Almost surely, 2^{21132313210107} is an apocalyptic number.

21132313210107 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

21132313210107 is a deficient number, since it is larger than the sum of its proper divisors (13024337317893).

21132313210107 is a wasteful number, since it uses less digits than its factorization.

21132313210107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118888 (or 7118882 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 21132313210107 its reverse (70101231323112), we get a palindrome (91233544533219).

The spelling of 21132313210107 in words is "twenty-one trillion, one hundred thirty-two billion, three hundred thirteen million, two hundred ten thousand, one hundred seven".