21301312100031 has 24 divisors (see below), whose sum is σ = 31927384719360. Its totient is φ = 13670830227600.

The previous prime is 21301312099973. The next prime is 21301312100039. The reversal of 21301312100031 is 13000121310312.

21301312100031 is a `hidden beast` number, since 21 + 301 + 312 + 1 + 0 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 21301312100031 - 2¹¹ = 21301312097983 is a prime.

It is a super-2 number, since 2×21301312100031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21301312099977 and 21301312100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301312100039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199812651 + ... + 199919228.

It is an arithmetic number, because the mean of its divisors is an integer number (1330307696640).

Almost surely, 2^{21301312100031} is an apocalyptic number.

21301312100031 is a deficient number, since it is larger than the sum of its proper divisors (10626072619329).

21301312100031 is a wasteful number, since it uses less digits than its factorization.

21301312100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399732107 (or 399732104 counting only the distinct ones).

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

Adding to 21301312100031 its reverse (13000121310312), we get a palindrome (34301433410343).

The spelling of 21301312100031 in words is "twenty-one trillion, three hundred one billion, three hundred twelve million, one hundred thousand, thirty-one".