1013131130369 has 2 divisors, whose sum is σ = 1013131130370. Its totient is φ = 1013131130368.

The previous prime is 1013131130327. The next prime is 1013131130381. The reversal of 1013131130369 is 9630311313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 817867009600 + 195264120769 = 904360^2 + 441887^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013131130369 - 2¹⁶ = 1013131064833 is a prime.

It is a super-2 number, since 2×1013131130369² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1013131330369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506565565184 + 506565565185.

It is an arithmetic number, because the mean of its divisors is an integer number (506565565185).

Almost surely, 2^{1013131130369} is an apocalyptic number.

It is an amenable number.

1013131130369 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013131130369 is an equidigital number, since it uses as much as digits as its factorization.

1013131130369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 32.

The spelling of 1013131130369 in words is "one trillion, thirteen billion, one hundred thirty-one million, one hundred thirty thousand, three hundred sixty-nine".