21331313310101 has 16 divisors (see below), whose sum is σ = 22977059635200. Its totient is φ = 19745440806960.

The previous prime is 21331313310077. The next prime is 21331313310103. The reversal of 21331313310101 is 10101331313312.

It is a cyclic number.

It is not a de Polignac number, because 21331313310101 - 2⁶ = 21331313310037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331313310103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96928676 + ... + 97148498.

It is an arithmetic number, because the mean of its divisors is an integer number (1436066227200).

Almost surely, 2^{21331313310101} is an apocalyptic number.

It is an amenable number.

21331313310101 is a deficient number, since it is larger than the sum of its proper divisors (1645746325099).

21331313310101 is a wasteful number, since it uses less digits than its factorization.

21331313310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355976.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 21331313310101 its reverse (10101331313312), we get a palindrome (31432644623413).

The spelling of 21331313310101 in words is "twenty-one trillion, three hundred thirty-one billion, three hundred thirteen million, three hundred ten thousand, one hundred one".