1331323125337 has 2 divisors, whose sum is σ = 1331323125338. Its totient is φ = 1331323125336.

The previous prime is 1331323125311. The next prime is 1331323125347. The reversal of 1331323125337 is 7335213231331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1063231139161 + 268091986176 = 1031131^2 + 517776^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1331323125337 is a prime.

It is a super-3 number, since 3×1331323125337³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1331323125296 and 1331323125305.

It is not a weakly prime, because it can be changed into another prime (1331323125347) 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, 665661562668 + 665661562669.

It is an arithmetic number, because the mean of its divisors is an integer number (665661562669).

Almost surely, 2^{1331323125337} is an apocalyptic number.

It is an amenable number.

1331323125337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331323125337 is an equidigital number, since it uses as much as digits as its factorization.

1331323125337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 102060, while the sum is 37.

Adding to 1331323125337 its reverse (7335213231331), we get a palindrome (8666536356668).

The spelling of 1331323125337 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred twenty-five thousand, three hundred thirty-seven".