2131100140 has 72 divisors (see below), whose sum is σ = 4884053328. Its totient is φ = 780698880.

The previous prime is 2131100123. The next prime is 2131100141. The reversal of 2131100140 is 410011312.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2131100140.

It is not an unprimeable number, because it can be changed into a prime (2131100141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440374 + ... + 445186.

It is an arithmetic number, because the mean of its divisors is an integer number (67834074).

Almost surely, 2^2131100140 is an apocalyptic number.

2131100140 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 2131100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442026664).

2131100140 is an abundant number, since it is smaller than the sum of its proper divisors (2752953188).

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

2131100140 is a wasteful number, since it uses less digits than its factorization.

2131100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2131100140 is about 46163.8401782174. The cubic root of 2131100140 is about 1286.8698300481.

Adding to 2131100140 its reverse (410011312), we get a palindrome (2541111452).

The spelling of 2131100140 in words is "two billion, one hundred thirty-one million, one hundred thousand, one hundred forty".