10330003113313 has 24 divisors (see below), whose sum is σ = 11369871938616. Its totient is φ = 9378445939200.

The previous prime is 10330003113293. The next prime is 10330003113377. The reversal of 10330003113313 is 31331130003301.

It can be written as a sum of positive squares in 12 ways, for example, as 4656998528064 + 5673004585249 = 2158008^2 + 2381807^2 .

It is not a de Polignac number, because 10330003113313 - 2⁵ = 10330003113281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10330003113383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236270731 + ... + 236314447.

It is an arithmetic number, because the mean of its divisors is an integer number (473744664109).

Almost surely, 2^{10330003113313} is an apocalyptic number.

10330003113313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10330003113313 is a deficient number, since it is larger than the sum of its proper divisors (1039868825303).

10330003113313 is a wasteful number, since it uses less digits than its factorization.

10330003113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66725 (or 66712 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 10330003113313 its reverse (31331130003301), we get a palindrome (41661133116614).

The spelling of 10330003113313 in words is "ten trillion, three hundred thirty billion, three million, one hundred thirteen thousand, three hundred thirteen".