10013003000 has 384 divisors, whose sum is σ = 32043211200. Its totient is φ = 2878848000.

The previous prime is 10013002949. The next prime is 10013003003. The reversal of 10013003000 is 30031001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013003003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7006286 + ... + 7007714.

Almost surely, 2^10013003000 is an apocalyptic number.

10013003000 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 10013003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16021605600).

10013003000 is an abundant number, since it is smaller than the sum of its proper divisors (22030208200).

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

10013003000 is a wasteful number, since it uses less digits than its factorization.

10013003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 10013003000 its reverse (30031001), we get a palindrome (10043034001).

The spelling of 10013003000 in words is "ten billion, thirteen million, three thousand".