1513233040013 has 2 divisors, whose sum is σ = 1513233040014. Its totient is φ = 1513233040012.

The previous prime is 1513233039991. The next prime is 1513233040031. The reversal of 1513233040013 is 3100403323151.

Together with next prime (1513233040031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1468124802244 + 45108237769 = 1211662^2 + 212387^2 .

It is a cyclic number.

It is not a de Polignac number, because 1513233040013 - 2¹⁴ = 1513233023629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1513233040093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 756616520006 + 756616520007.

It is an arithmetic number, because the mean of its divisors is an integer number (756616520007).

Almost surely, 2^{1513233040013} is an apocalyptic number.

It is an amenable number.

1513233040013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1513233040013 is an equidigital number, since it uses as much as digits as its factorization.

1513233040013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 1513233040013 its reverse (3100403323151), we get a palindrome (4613636363164).

The spelling of 1513233040013 in words is "one trillion, five hundred thirteen billion, two hundred thirty-three million, forty thousand, thirteen".