100310013225 has 60 divisors (see below), whose sum is σ = 186057117004. Its totient is φ = 53427185280.

The previous prime is 100310013211. The next prime is 100310013253. The reversal of 100310013225 is 522310013001.

It can be written as a sum of positive squares in 6 ways, for example, as 2289048336 + 98020964889 = 47844^2 + 313083^2 .

It is not a de Polignac number, because 100310013225 - 2⁸ = 100310012969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100310013198 and 100310013207.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1500207 + ... + 1565643.

Almost surely, 2^100310013225 is an apocalyptic number.

100310013225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100310013225 is a deficient number, since it is larger than the sum of its proper divisors (85747103779).

100310013225 is an equidigital number, since it uses as much as digits as its factorization.

100310013225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66216 (or 66202 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 100310013225 its reverse (522310013001), we get a palindrome (622620026226).

The spelling of 100310013225 in words is "one hundred billion, three hundred ten million, thirteen thousand, two hundred twenty-five".