21011111000113 has 16 divisors (see below), whose sum is σ = 23982743869056. Its totient is φ = 18235427016960.

The previous prime is 21011111000071. The next prime is 21011111000119. The reversal of 21011111000113 is 31100011111012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21011111000113 is a prime.

It is a super-2 number, since 2×21011111000113² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21011111000093 and 21011111000102.

It is not an unprimeable number, because it can be changed into a prime (21011111000119) 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, 48141303 + ... + 48575788.

It is an arithmetic number, because the mean of its divisors is an integer number (1498921491816).

Almost surely, 2^{21011111000113} is an apocalyptic number.

It is an amenable number.

21011111000113 is a deficient number, since it is larger than the sum of its proper divisors (2971632868943).

21011111000113 is a wasteful number, since it uses less digits than its factorization.

21011111000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96718104.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 21011111000113 its reverse (31100011111012), we get a palindrome (52111122111125).

The spelling of 21011111000113 in words is "twenty-one trillion, eleven billion, one hundred eleven million, one hundred thirteen", and thus it is an aban number.