10003413000 has 512 divisors, whose sum is σ = 37739520000. Its totient is φ = 2156774400.

The previous prime is 10003412989. The next prime is 10003413001. The reversal of 10003413000 is 31430001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10003413001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67136926 + ... + 67137074.

It is an arithmetic number, because the mean of its divisors is an integer number (73710000).

Almost surely, 2^10003413000 is an apocalyptic number.

10003413000 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 10003413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760000).

10003413000 is an abundant number, since it is smaller than the sum of its proper divisors (27736107000).

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

10003413000 is a wasteful number, since it uses less digits than its factorization.

10003413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10003413000 its reverse (31430001), we get a palindrome (10034843001).

The spelling of 10003413000 in words is "ten billion, three million, four hundred thirteen thousand".