13131022414337 has 2 divisors, whose sum is σ = 13131022414338. Its totient is φ = 13131022414336.

The previous prime is 13131022414333. The next prime is 13131022414343. The reversal of 13131022414337 is 73341422013131.

It is a happy number.

13131022414337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13124382772081 + 6639642256 = 3622759^2 + 81484^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131022414337 - 2² = 13131022414333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13131022414297 and 13131022414306.

It is not a weakly prime, because it can be changed into another prime (13131022414333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565511207168 + 6565511207169.

It is an arithmetic number, because the mean of its divisors is an integer number (6565511207169).

Almost surely, 2^{13131022414337} is an apocalyptic number.

It is an amenable number.

13131022414337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131022414337 is an equidigital number, since it uses as much as digits as its factorization.

13131022414337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 35.

Adding to 13131022414337 its reverse (73341422013131), we get a palindrome (86472444427468).

The spelling of 13131022414337 in words is "thirteen trillion, one hundred thirty-one billion, twenty-two million, four hundred fourteen thousand, three hundred thirty-seven".