2113311101 has 12 divisors (see below), whose sum is σ = 2329523196. Its totient is φ = 1915710720.

The previous prime is 2113311061. The next prime is 2113311107. The reversal of 2113311101 is 1011133112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 659719225 + 1453591876 = 25685^2 + 38126^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2113311101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113311107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17975 + ... + 67451.

It is an arithmetic number, because the mean of its divisors is an integer number (194126933).

Almost surely, 2^2113311101 is an apocalyptic number.

It is an amenable number.

2113311101 is a deficient number, since it is larger than the sum of its proper divisors (216212095).

2113311101 is a wasteful number, since it uses less digits than its factorization.

2113311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49852 (or 49841 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 2113311101 is about 45970.7635459756. The cubic root of 2113311101 is about 1283.2791695961.

Adding to 2113311101 its reverse (1011133112), we get a palindrome (3124444213).

The spelling of 2113311101 in words is "two billion, one hundred thirteen million, three hundred eleven thousand, one hundred one".