2131113120 has 96 divisors (see below), whose sum is σ = 6731569152. Its totient is φ = 566725632.

The previous prime is 2131113119. The next prime is 2131113121. The reversal of 2131113120 is 213111312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2131113119) and next prime (2131113121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2131113120² = 9083286260472268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131113120.

It is not an unprimeable number, because it can be changed into a prime (2131113121) 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, 173089 + ... + 184991.

It is an arithmetic number, because the mean of its divisors is an integer number (70120512).

Almost surely, 2^2131113120 is an apocalyptic number.

2131113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365784576).

2131113120 is an abundant number, since it is smaller than the sum of its proper divisors (4600456032).

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

2131113120 is a wasteful number, since it uses less digits than its factorization.

2131113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12294 (or 12286 counting only the distinct ones).

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

The square root of 2131113120 is about 46163.9807642279. The cubic root of 2131113120 is about 1286.8724427106.

Adding to 2131113120 its reverse (213111312), we get a palindrome (2344224432).

The spelling of 2131113120 in words is "two billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred twenty".