21101311111113 has 24 divisors (see below), whose sum is σ = 30544667244000. Its totient is φ = 14037563280384.

The previous prime is 21101311111063. The next prime is 21101311111171. The reversal of 21101311111113 is 31111111310112.

It is a happy number.

It is not a de Polignac number, because 21101311111113 - 2²⁰ = 21101310062537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21101311111213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11503113 + ... + 13210761.

It is an arithmetic number, because the mean of its divisors is an integer number (1272694468500).

Almost surely, 2^{21101311111113} is an apocalyptic number.

It is an amenable number.

21101311111113 is a deficient number, since it is larger than the sum of its proper divisors (9443356132887).

21101311111113 is a wasteful number, since it uses less digits than its factorization.

21101311111113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710581 (or 1710578 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

Adding to 21101311111113 its reverse (31111111310112), we get a palindrome (52212422421225).

The spelling of 21101311111113 in words is "twenty-one trillion, one hundred one billion, three hundred eleven million, one hundred eleven thousand, one hundred thirteen".