10003201320 has 256 divisors, whose sum is σ = 36984729600. Its totient is φ = 2113136640.

The previous prime is 10003201259. The next prime is 10003201349. The reversal of 10003201320 is 2310230001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10003201296 and 10003201305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 646717 + ... + 662003.

It is an arithmetic number, because the mean of its divisors is an integer number (144471600).

Almost surely, 2^10003201320 is an apocalyptic number.

10003201320 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 10003201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18492364800).

10003201320 is an abundant number, since it is smaller than the sum of its proper divisors (26981528280).

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

10003201320 is a wasteful number, since it uses less digits than its factorization.

10003201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15368 (or 15364 counting only the distinct ones).

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

Adding to 10003201320 its reverse (2310230001), we get a palindrome (12313431321).

The spelling of 10003201320 in words is "ten billion, three million, two hundred one thousand, three hundred twenty".