1013131233 has 40 divisors (see below), whose sum is σ = 1538757000. Its totient is φ = 664215552.

The previous prime is 1013131159. The next prime is 1013131237. The reversal of 1013131233 is 3321313101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4941729 + 1008189504 = 2223^2 + 31752^2 .

It is not a de Polignac number, because 1013131233 - 2⁹ = 1013130721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013131237) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2256193 + ... + 2256641.

It is an arithmetic number, because the mean of its divisors is an integer number (38468925).

Almost surely, 2^1013131233 is an apocalyptic number.

It is an amenable number.

1013131233 is a deficient number, since it is larger than the sum of its proper divisors (525625767).

1013131233 is an equidigital number, since it uses as much as digits as its factorization.

1013131233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1013131233 is about 31829.7224775837. The cubic root of 1013131233 is about 1004.3580574119.

Adding to 1013131233 its reverse (3321313101), we get a palindrome (4334444334).

The spelling of 1013131233 in words is "one billion, thirteen million, one hundred thirty-one thousand, two hundred thirty-three".