1003332000013 has 16 divisors (see below), whose sum is σ = 1150667176320. Its totient is φ = 857001600000.

The previous prime is 1003331999983. The next prime is 1003332000023. The reversal of 1003332000013 is 3100002333001.

It is not a de Polignac number, because 1003332000013 - 2¹⁷ = 1003331868941 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 (1003332000023) 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 15 ways as a sum of consecutive naturals, for example, 2655138 + ... + 3009388.

It is an arithmetic number, because the mean of its divisors is an integer number (71916698520).

Almost surely, 2^{1003332000013} is an apocalyptic number.

It is an amenable number.

1003332000013 is a deficient number, since it is larger than the sum of its proper divisors (147335176307).

1003332000013 is a wasteful number, since it uses less digits than its factorization.

1003332000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355668.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 1003332000013 its reverse (3100002333001), we get a palindrome (4103334333014).

The spelling of 1003332000013 in words is "one trillion, three billion, three hundred thirty-two million, thirteen", and thus it is an aban number.