2003130000013 has 8 divisors (see below), whose sum is σ = 2070372276632. Its totient is φ = 1936577388096.

The previous prime is 2003129999977. The next prime is 2003130000017. The reversal of 2003130000013 is 3100000313002.

It can be written as a sum of positive squares in 4 ways, for example, as 924361104969 + 1078768895044 = 961437^2 + 1038638^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2003130000013 - 2⁹ = 2003129999501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2003129999948 and 2003130000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003130000017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172410270 + ... + 172421887.

It is an arithmetic number, because the mean of its divisors is an integer number (258796534579).

Almost surely, 2^{2003130000013} is an apocalyptic number.

It is an amenable number.

2003130000013 is a deficient number, since it is larger than the sum of its proper divisors (67242276619).

2003130000013 is a wasteful number, since it uses less digits than its factorization.

2003130000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344832351.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 2003130000013 its reverse (3100000313002), we get a palindrome (5103130313015).

The spelling of 2003130000013 in words is "two trillion, three billion, one hundred thirty million, thirteen", and thus it is an aban number.