21331100112013 has 4 divisors (see below), whose sum is σ = 21331109406460. Its totient is φ = 21331090817568.

The previous prime is 21331100111987. The next prime is 21331100112071. The reversal of 21331100112013 is 31021100113312.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 3968852871204 + 17362247240809 = 1992198^2 + 4166803^2 .

It is a cyclic number.

It is not a de Polignac number, because 21331100112013 - 2²¹ = 21331098014861 is a prime.

It is a super-2 number, since 2×21331100112013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331100113013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1550593 + ... + 6713161.

It is an arithmetic number, because the mean of its divisors is an integer number (5332777351615).

Almost surely, 2^{21331100112013} is an apocalyptic number.

It is an amenable number.

21331100112013 is a deficient number, since it is larger than the sum of its proper divisors (9294447).

21331100112013 is an equidigital number, since it uses as much as digits as its factorization.

21331100112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9294446.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 21331100112013 its reverse (31021100113312), we get a palindrome (52352200225325).

The spelling of 21331100112013 in words is "twenty-one trillion, three hundred thirty-one billion, one hundred million, one hundred twelve thousand, thirteen".