2113112013101 has 8 divisors (see below), whose sum is σ = 2237449769784. Its totient is φ = 1988778373120.

The previous prime is 2113112013053. The next prime is 2113112013107. The reversal of 2113112013101 is 1013102113112.

It can be written as a sum of positive squares in 4 ways, for example, as 330913713001 + 1782198300100 = 575251^2 + 1334990^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2113112013101 - 2²² = 2113107818797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2113112013101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113112013107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60611 + ... + 2056671.

It is an arithmetic number, because the mean of its divisors is an integer number (279681221223).

Almost surely, 2^{2113112013101} is an apocalyptic number.

It is an amenable number.

2113112013101 is a deficient number, since it is larger than the sum of its proper divisors (124337756683).

2113112013101 is a wasteful number, since it uses less digits than its factorization.

2113112013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058351.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 2113112013101 its reverse (1013102113112), we get a palindrome (3126214126213).

The spelling of 2113112013101 in words is "two trillion, one hundred thirteen billion, one hundred twelve million, thirteen thousand, one hundred one".