131000031201337 has 2 divisors, whose sum is σ = 131000031201338. Its totient is φ = 131000031201336.

The previous prime is 131000031201329. The next prime is 131000031201349. The reversal of 131000031201337 is 733102130000131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113209089280576 + 17790941920761 = 10639976^2 + 4217931^2 .

It is an emirp because it is prime and its reverse (733102130000131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131000031201337 - 2³ = 131000031201329 is a prime.

It is a super-2 number, since 2×131000031201337² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131000031201737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65500015600668 + 65500015600669.

It is an arithmetic number, because the mean of its divisors is an integer number (65500015600669).

Almost surely, 2^{131000031201337} is an apocalyptic number.

It is an amenable number.

131000031201337 is a deficient number, since it is larger than the sum of its proper divisors (1).

131000031201337 is an equidigital number, since it uses as much as digits as its factorization.

131000031201337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 131000031201337 its reverse (733102130000131), we get a palindrome (864102161201468).

The spelling of 131000031201337 in words is "one hundred thirty-one trillion, thirty-one million, two hundred one thousand, three hundred thirty-seven".