1013132304 has 120 divisors (see below), whose sum is σ = 2925692952. Its totient is φ = 327075840.

The previous prime is 1013132249. The next prime is 1013132321. The reversal of 1013132304 is 4032313101.

It can be written as a sum of positive squares in 4 ways, for example, as 110250000 + 902882304 = 10500^2 + 30048^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926382 + ... + 927474.

Almost surely, 2^1013132304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462846476).

1013132304 is an abundant number, since it is smaller than the sum of its proper divisors (1912560648).

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

1013132304 is a wasteful number, since it uses less digits than its factorization.

1013132304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1013132304 is about 31829.7393014772. The cubic root of 1013132304 is about 1004.3584113203.

Adding to 1013132304 its reverse (4032313101), we get a palindrome (5045445405).

The spelling of 1013132304 in words is "one billion, thirteen million, one hundred thirty-two thousand, three hundred four".