10003220313 has 8 divisors (see below), whose sum is σ = 13563688800. Its totient is φ = 6555782688.

The previous prime is 10003220273. The next prime is 10003220321. The reversal of 10003220313 is 31302230001.

10003220313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10003220313 - 2¹² = 10003216217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10003220292 and 10003220301.

It is not an unprimeable number, because it can be changed into a prime (10003220323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28257508 + ... + 28257861.

It is an arithmetic number, because the mean of its divisors is an integer number (1695461100).

Almost surely, 2^10003220313 is an apocalyptic number.

It is an amenable number.

10003220313 is a deficient number, since it is larger than the sum of its proper divisors (3560468487).

10003220313 is an equidigital number, since it uses as much as digits as its factorization.

10003220313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56515431.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10003220313 its reverse (31302230001), we get a palindrome (41305450314).

The spelling of 10003220313 in words is "ten billion, three million, two hundred twenty thousand, three hundred thirteen".