1013104000 has 128 divisors (see below), whose sum is σ = 2629298880. Its totient is φ = 387481600.

The previous prime is 1013103989. The next prime is 1013104003. The reversal of 1013104000 is 4013101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013104003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366624 + ... + 369376.

Almost surely, 2^1013104000 is an apocalyptic number.

1013104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314649440).

1013104000 is an abundant number, since it is smaller than the sum of its proper divisors (1616194880).

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

1013104000 is an equidigital number, since it uses as much as digits as its factorization.

1013104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1013104000 is about 31829.2946827290. The cubic root of 1013104000 is about 1004.3490582723.

Adding to 1013104000 its reverse (4013101), we get a palindrome (1017117101).

The spelling of 1013104000 in words is "one billion, thirteen million, one hundred four thousand".