1013132320 has 24 divisors (see below), whose sum is σ = 2393525484. Its totient is φ = 405252864.

The previous prime is 1013132249. The next prime is 1013132321. The reversal of 1013132320 is 232313101.

It can be written as a sum of positive squares in 2 ways, for example, as 936604816 + 76527504 = 30604^2 + 8748^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1013132294 and 1013132303.

It is not an unprimeable number, because it can be changed into a prime (1013132321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3165879 + ... + 3166198.

Almost surely, 2^1013132320 is an apocalyptic number.

1013132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013132320 is an abundant number, since it is smaller than the sum of its proper divisors (1380393164).

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

1013132320 is an equidigital number, since it uses as much as digits as its factorization.

1013132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332092 (or 6332084 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1013132320 is about 31829.7395528144. The cubic root of 1013132320 is about 1004.3584166075.

Adding to 1013132320 its reverse (232313101), we get a palindrome (1245445421).

The spelling of 1013132320 in words is "one billion, thirteen million, one hundred thirty-two thousand, three hundred twenty".