21331312122113 has 8 divisors (see below), whose sum is σ = 24378742928640. Its totient is φ = 18283906441440.

The previous prime is 21331312122103. The next prime is 21331312122143. The reversal of 21331312122113 is 31122121313312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21331312122113 - 2⁶ = 21331312122049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21331312122103) 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 7 ways as a sum of consecutive naturals, for example, 4425668 + ... + 7889813.

It is an arithmetic number, because the mean of its divisors is an integer number (3047342866080).

Almost surely, 2^{21331312122113} is an apocalyptic number.

It is an amenable number.

21331312122113 is a deficient number, since it is larger than the sum of its proper divisors (3047430806527).

21331312122113 is a wasteful number, since it uses less digits than its factorization.

21331312122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12562927.

The product of its digits is 1296, while the sum is 26.

Adding to 21331312122113 its reverse (31122121313312), we get a palindrome (52453433435425).

The spelling of 21331312122113 in words is "twenty-one trillion, three hundred thirty-one billion, three hundred twelve million, one hundred twenty-two thousand, one hundred thirteen".