21131232320953 has 2 divisors, whose sum is σ = 21131232320954. Its totient is φ = 21131232320952.

The previous prime is 21131232320927. The next prime is 21131232321037. The reversal of 21131232320953 is 35902323213112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14976923220009 + 6154309100944 = 3870003^2 + 2480788^2 .

It is a cyclic number.

It is not a de Polignac number, because 21131232320953 - 2⁵ = 21131232320921 is a prime.

It is a super-2 number, since 2×21131232320953² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21131232329953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10565616160476 + 10565616160477.

It is an arithmetic number, because the mean of its divisors is an integer number (10565616160477).

Almost surely, 2^{21131232320953} is an apocalyptic number.

It is an amenable number.

21131232320953 is a deficient number, since it is larger than the sum of its proper divisors (1).

21131232320953 is an equidigital number, since it uses as much as digits as its factorization.

21131232320953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 21131232320953 in words is "twenty-one trillion, one hundred thirty-one billion, two hundred thirty-two million, three hundred twenty thousand, nine hundred fifty-three".