21113330121113 has 16 divisors (see below), whose sum is σ = 22188238848000. Its totient is φ = 20051923312080.

The previous prime is 21113330121101. The next prime is 21113330121119. The reversal of 21113330121113 is 31112103331112.

It is a cyclic number.

It is not a de Polignac number, because 21113330121113 - 2²⁴ = 21113313343897 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 not an unprimeable number, because it can be changed into a prime (21113330121119) 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, 2622773 + ... + 7007538.

It is an arithmetic number, because the mean of its divisors is an integer number (1386764928000).

Almost surely, 2^{21113330121113} is an apocalyptic number.

21113330121113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21113330121113 is a deficient number, since it is larger than the sum of its proper divisors (1074908726887).

21113330121113 is a wasteful number, since it uses less digits than its factorization.

21113330121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9631012.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 21113330121113 its reverse (31112103331112), we get a palindrome (52225433452225).

The spelling of 21113330121113 in words is "twenty-one trillion, one hundred thirteen billion, three hundred thirty million, one hundred twenty-one thousand, one hundred thirteen".