21101320113321 has 96 divisors (see below), whose sum is σ = 35528123473920. Its totient is φ = 10898676172800.

The previous prime is 21101320113283. The next prime is 21101320113323. The reversal of 21101320113321 is 12331102310112.

It is not a de Polignac number, because 21101320113321 - 2⁶ = 21101320113257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (21101320113323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24218125 + ... + 25074293.

It is an arithmetic number, because the mean of its divisors is an integer number (370084619520).

Almost surely, 2^{21101320113321} is an apocalyptic number.

21101320113321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21101320113321 is a deficient number, since it is larger than the sum of its proper divisors (14426803360599).

21101320113321 is a wasteful number, since it uses less digits than its factorization.

21101320113321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856375 (or 856358 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 21101320113321 its reverse (12331102310112), we get a palindrome (33432422423433).

The spelling of 21101320113321 in words is "twenty-one trillion, one hundred one billion, three hundred twenty million, one hundred thirteen thousand, three hundred twenty-one".