131344311300337 has 2 divisors, whose sum is σ = 131344311300338. Its totient is φ = 131344311300336.

The previous prime is 131344311300313. The next prime is 131344311300413. The reversal of 131344311300337 is 733003113443131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122073528618721 + 9270782681616 = 11048689^2 + 3044796^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131344311300337 is a prime.

It is a super-2 number, since 2×131344311300337² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131344311300296 and 131344311300305.

It is not a weakly prime, because it can be changed into another prime (131344311300437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65672155650168 + 65672155650169.

It is an arithmetic number, because the mean of its divisors is an integer number (65672155650169).

Almost surely, 2^{131344311300337} is an apocalyptic number.

It is an amenable number.

131344311300337 is a deficient number, since it is larger than the sum of its proper divisors (1).

131344311300337 is an equidigital number, since it uses as much as digits as its factorization.

131344311300337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81648, while the sum is 37.

Adding to 131344311300337 its reverse (733003113443131), we get a palindrome (864347424743468).

The spelling of 131344311300337 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred eleven million, three hundred thousand, three hundred thirty-seven".