1131413024 has 96 divisors (see below), whose sum is σ = 2594592000. Its totient is φ = 475683840.

The previous prime is 1131413021. The next prime is 1131413039. The reversal of 1131413024 is 4203141311.

It is a junction number, because it is equal to n+sod(n) for n = 1131412987 and 1131413005.

It is not an unprimeable number, because it can be changed into a prime (1131413021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3637829 + ... + 3638139.

It is an arithmetic number, because the mean of its divisors is an integer number (27027000).

Almost surely, 2^1131413024 is an apocalyptic number.

1131413024 is a gapful number since it is divisible by the number (14) 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 1131413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297296000).

1131413024 is an abundant number, since it is smaller than the sum of its proper divisors (1463178976).

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

1131413024 is a wasteful number, since it uses less digits than its factorization.

1131413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1131413024 is about 33636.4835260763. The cubic root of 1131413024 is about 1042.0144093164.

Adding to 1131413024 its reverse (4203141311), we get a palindrome (5334554335).

The spelling of 1131413024 in words is "one billion, one hundred thirty-one million, four hundred thirteen thousand, twenty-four".