21110614516013 has 16 divisors (see below), whose sum is σ = 24757638128640. Its totient is φ = 17794552388400.

The previous prime is 21110614516001. The next prime is 21110614516063. The reversal of 21110614516013 is 31061541601112.

It is a cyclic number.

It is not a de Polignac number, because 21110614516013 - 2²⁸ = 21110346080557 is a prime.

It is a super-4 number, since 4×21110614516013⁴ (a number of 54 digits) contains 4444 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 (21110614516063) 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, 1074540443 + ... + 1074560088.

It is an arithmetic number, because the mean of its divisors is an integer number (1547352383040).

Almost surely, 2^{21110614516013} is an apocalyptic number.

It is an amenable number.

21110614516013 is a deficient number, since it is larger than the sum of its proper divisors (3647023612627).

21110614516013 is a wasteful number, since it uses less digits than its factorization.

21110614516013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149100608.

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 21110614516013 in words is "twenty-one trillion, one hundred ten billion, six hundred fourteen million, five hundred sixteen thousand, thirteen".