10003001320 has 128 divisors (see below), whose sum is σ = 25147584000. Its totient is φ = 3555578880.

The previous prime is 10003001287. The next prime is 10003001321. The reversal of 10003001320 is 2310030001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10003001297 and 10003001306.

It is not an unprimeable number, because it can be changed into a prime (10003001321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6619365 + ... + 6620875.

It is an arithmetic number, because the mean of its divisors is an integer number (196465500).

Almost surely, 2^10003001320 is an apocalyptic number.

10003001320 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 10003001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573792000).

10003001320 is an abundant number, since it is smaller than the sum of its proper divisors (15144582680).

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

10003001320 is a wasteful number, since it uses less digits than its factorization.

10003001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10003001320 its reverse (2310030001), we get a palindrome (12313031321).

The spelling of 10003001320 in words is "ten billion, three million, one thousand, three hundred twenty".