13141311313033 has 2 divisors, whose sum is σ = 13141311313034. Its totient is φ = 13141311313032.

The previous prime is 13141311312931. The next prime is 13141311313079. The reversal of 13141311313033 is 33031311314131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10603958602384 + 2537352710649 = 3256372^2 + 1592907^2 .

It is a cyclic number.

It is not a de Polignac number, because 13141311313033 - 2²⁹ = 13140774442121 is a prime.

It is a super-2 number, since 2×13141311313033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13141311312992 and 13141311313010.

It is not a weakly prime, because it can be changed into another prime (13141311313733) 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, 6570655656516 + 6570655656517.

It is an arithmetic number, because the mean of its divisors is an integer number (6570655656517).

Almost surely, 2^{13141311313033} is an apocalyptic number.

It is an amenable number.

13141311313033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13141311313033 is an equidigital number, since it uses as much as digits as its factorization.

13141311313033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 13141311313033 its reverse (33031311314131), we get a palindrome (46172622627164).

The spelling of 13141311313033 in words is "thirteen trillion, one hundred forty-one billion, three hundred eleven million, three hundred thirteen thousand, thirty-three".