13141311141337 has 2 divisors, whose sum is σ = 13141311141338. Its totient is φ = 13141311141336.

The previous prime is 13141311141269. The next prime is 13141311141349. The reversal of 13141311141337 is 73314111314131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12103308798361 + 1038002342976 = 3478981^2 + 1018824^2 .

It is a cyclic number.

It is not a de Polignac number, because 13141311141337 - 2¹⁹ = 13141310617049 is a prime.

It is not a weakly prime, because it can be changed into another prime (13141311141367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6570655570668 + 6570655570669.

It is an arithmetic number, because the mean of its divisors is an integer number (6570655570669).

Almost surely, 2^{13141311141337} is an apocalyptic number.

It is an amenable number.

13141311141337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13141311141337 is an equidigital number, since it uses as much as digits as its factorization.

13141311141337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 34.

Adding to 13141311141337 its reverse (73314111314131), we get a palindrome (86455422455468).

The spelling of 13141311141337 in words is "thirteen trillion, one hundred forty-one billion, three hundred eleven million, one hundred forty-one thousand, three hundred thirty-seven".