21312133131303 has 48 divisors (see below), whose sum is σ = 37119540556800. Its totient is φ = 11510626201920.

The previous prime is 21312133131301. The next prime is 21312133131323. The reversal of 21312133131303 is 30313133121312.

21312133131303 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 21 + 331 + 3 + 1 + 303 = 666.

It is not a de Polignac number, because 21312133131303 - 2¹ = 21312133131301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312133131301) 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, 20139108 + ... + 21170921.

It is an arithmetic number, because the mean of its divisors is an integer number (773323761600).

Almost surely, 2^{21312133131303} is an apocalyptic number.

21312133131303 is a deficient number, since it is larger than the sum of its proper divisors (15807407425497).

21312133131303 is a wasteful number, since it uses less digits than its factorization.

21312133131303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41310492 (or 41310489 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 21312133131303 its reverse (30313133121312), we get a palindrome (51625266252615).

Subtracting 21312133131303 from its reverse (30313133121312), we obtain a palindrome (9000999990009).

The spelling of 21312133131303 in words is "twenty-one trillion, three hundred twelve billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred three".