1813011361313 has 2 divisors, whose sum is σ = 1813011361314. Its totient is φ = 1813011361312.

The previous prime is 1813011361277. The next prime is 1813011361327. The reversal of 1813011361313 is 3131631103181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1416271365184 + 396739996129 = 1190072^2 + 629873^2 .

It is a cyclic number.

It is not a de Polignac number, because 1813011361313 - 2²⁸ = 1812742925857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1813011361313.

It is not a weakly prime, because it can be changed into another prime (1813011361613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 906505680656 + 906505680657.

It is an arithmetic number, because the mean of its divisors is an integer number (906505680657).

Almost surely, 2^{1813011361313} is an apocalyptic number.

It is an amenable number.

1813011361313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1813011361313 is an equidigital number, since it uses as much as digits as its factorization.

1813011361313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

Adding to 1813011361313 its reverse (3131631103181), we get a palindrome (4944642464494).

The spelling of 1813011361313 in words is "one trillion, eight hundred thirteen billion, eleven million, three hundred sixty-one thousand, three hundred thirteen".