10300120331013 has 36 divisors (see below), whose sum is σ = 15088979949732. Its totient is φ = 6770693422080.

The previous prime is 10300120331003. The next prime is 10300120331021. The reversal of 10300120331013 is 31013302100301.

It is a happy number.

10300120331013 is a `hidden beast` number, since 1 + 0 + 300 + 1 + 20 + 331 + 0 + 13 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2881431560484 + 7418688770529 = 1697478^2 + 2723727^2 .

It is not a de Polignac number, because 10300120331013 - 2⁶ = 10300120330949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300120331003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173253373 + ... + 173312813.

It is an arithmetic number, because the mean of its divisors is an integer number (419138331937).

Almost surely, 2^{10300120331013} is an apocalyptic number.

It is an amenable number.

10300120331013 is a deficient number, since it is larger than the sum of its proper divisors (4788859618719).

10300120331013 is an equidigital number, since it uses as much as digits as its factorization.

10300120331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63206 (or 63130 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10300120331013 its reverse (31013302100301), we get a palindrome (41313422431314).

The spelling of 10300120331013 in words is "ten trillion, three hundred billion, one hundred twenty million, three hundred thirty-one thousand, thirteen".