13131201330337 has 2 divisors, whose sum is σ = 13131201330338. Its totient is φ = 13131201330336.

The previous prime is 13131201330281. The next prime is 13131201330353. The reversal of 13131201330337 is 73303310213131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11967476035216 + 1163725295121 = 3459404^2 + 1078761^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131201330337 - 2¹⁹ = 13131200806049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13131201330299 and 13131201330308.

It is not a weakly prime, because it can be changed into another prime (13131201330437) 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, 6565600665168 + 6565600665169.

It is an arithmetic number, because the mean of its divisors is an integer number (6565600665169).

Almost surely, 2^{13131201330337} is an apocalyptic number.

It is an amenable number.

13131201330337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131201330337 is an equidigital number, since it uses as much as digits as its factorization.

13131201330337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 31.

Adding to 13131201330337 its reverse (73303310213131), we get a palindrome (86434511543468).

The spelling of 13131201330337 in words is "thirteen trillion, one hundred thirty-one billion, two hundred one million, three hundred thirty thousand, three hundred thirty-seven".