1303033310113 has 2 divisors, whose sum is σ = 1303033310114. Its totient is φ = 1303033310112.

The previous prime is 1303033310099. The next prime is 1303033310123. The reversal of 1303033310113 is 3110133303031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1219206847329 + 83826462784 = 1104177^2 + 289528^2 .

It is an emirp because it is prime and its reverse (3110133303031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1303033310113 - 2⁹ = 1303033309601 is a prime.

It is not a weakly prime, because it can be changed into another prime (1303033310123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 651516655056 + 651516655057.

It is an arithmetic number, because the mean of its divisors is an integer number (651516655057).

Almost surely, 2^{1303033310113} is an apocalyptic number.

It is an amenable number.

1303033310113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303033310113 is an equidigital number, since it uses as much as digits as its factorization.

1303033310113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 1303033310113 its reverse (3110133303031), we get a palindrome (4413166613144).

The spelling of 1303033310113 in words is "one trillion, three hundred three billion, thirty-three million, three hundred ten thousand, one hundred thirteen".