1003010020013 has 2 divisors, whose sum is σ = 1003010020014. Its totient is φ = 1003010020012.

The previous prime is 1003010020009. The next prime is 1003010020039. The reversal of 1003010020013 is 3100200103001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 939323440969 + 63686579044 = 969187^2 + 252362^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003010020013 - 2² = 1003010020009 is a prime.

It is a super-3 number, since 3×1003010020013³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003010019976 and 1003010020003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003010020813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501505010006 + 501505010007.

It is an arithmetic number, because the mean of its divisors is an integer number (501505010007).

Almost surely, 2^{1003010020013} is an apocalyptic number.

It is an amenable number.

1003010020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003010020013 is an equidigital number, since it uses as much as digits as its factorization.

1003010020013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1003010020013 its reverse (3100200103001), we get a palindrome (4103210123014).

The spelling of 1003010020013 in words is "one trillion, three billion, ten million, twenty thousand, thirteen".