1013131330369 has 2 divisors, whose sum is σ = 1013131330370. Its totient is φ = 1013131330368.

The previous prime is 1013131330363. The next prime is 1013131330399. The reversal of 1013131330369 is 9630331313101.

1013131330369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 998280739600 + 14850590769 = 999140^2 + 121863^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013131330369 - 2¹⁵ = 1013131297601 is a prime.

It is a super-2 number, since 2×1013131330369² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1013131330363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506565665184 + 506565665185.

It is an arithmetic number, because the mean of its divisors is an integer number (506565665185).

Almost surely, 2^{1013131330369} is an apocalyptic number.

It is an amenable number.

1013131330369 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013131330369 is an equidigital number, since it uses as much as digits as its factorization.

1013131330369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13122, while the sum is 34.

The spelling of 1013131330369 in words is "one trillion, thirteen billion, one hundred thirty-one million, three hundred thirty thousand, three hundred sixty-nine".