2131142112 has 144 divisors (see below), whose sum is σ = 6674234112. Its totient is φ = 639663360.

The previous prime is 2131142099. The next prime is 2131142129. The reversal of 2131142112 is 2112411312.

2131142112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335833 + ... + 342119.

It is an arithmetic number, because the mean of its divisors is an integer number (46348848).

Almost surely, 2^2131142112 is an apocalyptic number.

2131142112 is a gapful number since it is divisible by the number (22) 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 2131142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337117056).

2131142112 is an abundant number, since it is smaller than the sum of its proper divisors (4543092000).

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

2131142112 is a wasteful number, since it uses less digits than its factorization.

2131142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6421 (or 6410 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2131142112 is about 46164.2947742083. The cubic root of 2131142112 is about 1286.8782782896.

Adding to 2131142112 its reverse (2112411312), we get a palindrome (4243553424).

The spelling of 2131142112 in words is "two billion, one hundred thirty-one million, one hundred forty-two thousand, one hundred twelve".