2131113024 has 336 divisors, whose sum is σ = 6923836800. Its totient is φ = 640797696.

The previous prime is 2131112999. The next prime is 2131113059. The reversal of 2131113024 is 4203111312.

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

It is a junction number, because it is equal to n+sod(n) for n = 2131112988 and 2131113006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49560747 + ... + 49560789.

Almost surely, 2^2131113024 is an apocalyptic number.

2131113024 is a gapful number since it is divisible by the number (24) 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 2131113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461918400).

2131113024 is an abundant number, since it is smaller than the sum of its proper divisors (4792723776).

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

2131113024 is a wasteful number, since it uses less digits than its factorization.

2131113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 100 counting only the distinct ones).

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

The square root of 2131113024 is about 46163.9797244562. The cubic root of 2131113024 is about 1286.8724233874.

Adding to 2131113024 its reverse (4203111312), we get a palindrome (6334224336).

The spelling of 2131113024 in words is "two billion, one hundred thirty-one million, one hundred thirteen thousand, twenty-four".