120313310013 has 48 divisors (see below), whose sum is σ = 193255554240. Its totient is φ = 73943827776.

The previous prime is 120313310011. The next prime is 120313310021. The reversal of 120313310013 is 310013313021.

It is a happy number.

It is not a de Polignac number, because 120313310013 - 2¹ = 120313310011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120313310011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3620170 + ... + 3653252.

It is an arithmetic number, because the mean of its divisors is an integer number (4026157380).

Almost surely, 2^120313310013 is an apocalyptic number.

120313310013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120313310013 is a deficient number, since it is larger than the sum of its proper divisors (72942244227).

120313310013 is a wasteful number, since it uses less digits than its factorization.

120313310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33915 (or 33896 counting only the distinct ones).

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

Adding to 120313310013 its reverse (310013313021), we get a palindrome (430326623034).

The spelling of 120313310013 in words is "one hundred twenty billion, three hundred thirteen million, three hundred ten thousand, thirteen".