21100213113 has 16 divisors (see below), whose sum is σ = 32679801216. Its totient is φ = 11859603840.

The previous prime is 21100213109. The next prime is 21100213139. The reversal of 21100213113 is 31131200112.

It is a happy number.

It is not a de Polignac number, because 21100213113 - 2² = 21100213109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21100213092 and 21100213101.

It is not an unprimeable number, because it can be changed into a prime (21100213163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8234556 + ... + 8237117.

It is an arithmetic number, because the mean of its divisors is an integer number (2042487576).

Almost surely, 2^21100213113 is an apocalyptic number.

It is an amenable number.

21100213113 is a deficient number, since it is larger than the sum of its proper divisors (11579588103).

21100213113 is a wasteful number, since it uses less digits than its factorization.

21100213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16471744.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21100213113 its reverse (31131200112), we get a palindrome (52231413225).

It can be divided in two parts, 211002 and 13113, that added together give a triangular number (224115 = T₆₆₉).

The spelling of 21100213113 in words is "twenty-one billion, one hundred million, two hundred thirteen thousand, one hundred thirteen".