2102113314 has 96 divisors (see below), whose sum is σ = 5473578240. Its totient is φ = 570326400.

The previous prime is 2102113261. The next prime is 2102113319. The reversal of 2102113314 is 4133112012.

2102113314 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2102113319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218179 + ... + 227609.

It is an arithmetic number, because the mean of its divisors is an integer number (57016440).

Almost surely, 2^2102113314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102113314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736789120).

2102113314 is an abundant number, since it is smaller than the sum of its proper divisors (3371464926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2102113314 is a wasteful number, since it uses less digits than its factorization.

2102113314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536 (or 9533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2102113314 is about 45848.8092975161. The cubic root of 2102113314 is about 1281.0085869838.

Adding to 2102113314 its reverse (4133112012), we get a palindrome (6235225326).

The spelling of 2102113314 in words is "two billion, one hundred two million, one hundred thirteen thousand, three hundred fourteen".