1013305304 has 48 divisors (see below), whose sum is σ = 2127882960. Its totient is φ = 451880000.

The previous prime is 1013305303. The next prime is 1013305333. The reversal of 1013305304 is 4035033101.

It is a happy number.

It is a super-2 number, since 2×1013305304² = 2053575278229064832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013305303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41429 + ... + 61179.

It is an arithmetic number, because the mean of its divisors is an integer number (44330895).

Almost surely, 2^1013305304 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 1013305304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063941480).

1013305304 is an abundant number, since it is smaller than the sum of its proper divisors (1114577656).

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

1013305304 is a wasteful number, since it uses less digits than its factorization.

1013305304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19832 (or 19817 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1013305304 is about 31832.4567697814. The cubic root of 1013305304 is about 1004.4155753306.

Adding to 1013305304 its reverse (4035033101), we get a palindrome (5048338405).

The spelling of 1013305304 in words is "one billion, thirteen million, three hundred five thousand, three hundred four".