10330314124013 has 24 divisors (see below), whose sum is σ = 11228372870400. Its totient is φ = 9499671455040.

The previous prime is 10330314124003. The next prime is 10330314124037. The reversal of 10330314124013 is 31042141303301.

It is a de Polignac number, because none of the positive numbers 2^k-10330314124013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330314124003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64976648 + ... + 65135438.

It is an arithmetic number, because the mean of its divisors is an integer number (467848869600).

Almost surely, 2^{10330314124013} is an apocalyptic number.

10330314124013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10330314124013 is a deficient number, since it is larger than the sum of its proper divisors (898058746387).

10330314124013 is a wasteful number, since it uses less digits than its factorization.

10330314124013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160269 (or 160256 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 10330314124013 its reverse (31042141303301), we get a palindrome (41372455427314).

The spelling of 10330314124013 in words is "ten trillion, three hundred thirty billion, three hundred fourteen million, one hundred twenty-four thousand, thirteen".