21313313212131 has 12 divisors (see below), whose sum is σ = 30788885627760. Its totient is φ = 14207496044400.

The previous prime is 21313313212117. The next prime is 21313313212153. The reversal of 21313313212131 is 13121231331312.

21313313212131 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 313 + 212 + 131 = 666.

It is not a de Polignac number, because 21313313212131 - 2¹⁰ = 21313313211107 is a prime.

It is a super-2 number, since 2×21313313212131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21313313212095 and 21313313212104.

It is not an unprimeable number, because it can be changed into a prime (21313313212111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114854671 + ... + 115040088.

It is an arithmetic number, because the mean of its divisors is an integer number (2565740468980).

Almost surely, 2^{21313313212131} is an apocalyptic number.

21313313212131 is a deficient number, since it is larger than the sum of its proper divisors (9475572415629).

21313313212131 is a wasteful number, since it uses less digits than its factorization.

21313313212131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229905066 (or 229905063 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 21313313212131 its reverse (13121231331312), we get a palindrome (34434544543443).

The spelling of 21313313212131 in words is "twenty-one trillion, three hundred thirteen billion, three hundred thirteen million, two hundred twelve thousand, one hundred thirty-one".