1003330120013 has 16 divisors (see below), whose sum is σ = 1082034119040. Its totient is φ = 924844447296.

The previous prime is 1003330120003. The next prime is 1003330120019. The reversal of 1003330120013 is 3100210333001.

1003330120013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1003330120013 - 2⁶ = 1003330119949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003330119973 and 1003330120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003330120019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76309706 + ... + 76322852.

It is an arithmetic number, because the mean of its divisors is an integer number (67627132440).

Almost surely, 2^{1003330120013} is an apocalyptic number.

1003330120013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003330120013 is a deficient number, since it is larger than the sum of its proper divisors (78703999027).

1003330120013 is a wasteful number, since it uses less digits than its factorization.

1003330120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20996.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1003330120013 its reverse (3100210333001), we get a palindrome (4103540453014).

The spelling of 1003330120013 in words is "one trillion, three billion, three hundred thirty million, one hundred twenty thousand, thirteen".