1013114304 has 280 divisors, whose sum is σ = 3252886560. Its totient is φ = 310818816.

The previous prime is 1013114299. The next prime is 1013114339. The reversal of 1013114304 is 4034113101.

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 39 ways as a sum of consecutive naturals, for example, 3457582 + ... + 3457874.

It is an arithmetic number, because the mean of its divisors is an integer number (11617452).

Almost surely, 2^1013114304 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 1013114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626443280).

1013114304 is an abundant number, since it is smaller than the sum of its proper divisors (2239772256).

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

1013114304 is a wasteful number, since it uses less digits than its factorization.

1013114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1013114304 is about 31829.4565457848. The cubic root of 1013114304 is about 1004.3524632461.

Adding to 1013114304 its reverse (4034113101), we get a palindrome (5047227405).

The spelling of 1013114304 in words is "one billion, thirteen million, one hundred fourteen thousand, three hundred four".