1313012421337 has 2 divisors, whose sum is σ = 1313012421338. Its totient is φ = 1313012421336.

The previous prime is 1313012421263. The next prime is 1313012421407. The reversal of 1313012421337 is 7331242103131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1015048190016 + 297964231321 = 1007496^2 + 545861^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1313012421337 is a prime.

It is a super-2 number, since 2×1313012421337² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313012421299 and 1313012421308.

It is not a weakly prime, because it can be changed into another prime (1313012421037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656506210668 + 656506210669.

It is an arithmetic number, because the mean of its divisors is an integer number (656506210669).

Almost surely, 2^{1313012421337} is an apocalyptic number.

It is an amenable number.

1313012421337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313012421337 is an equidigital number, since it uses as much as digits as its factorization.

1313012421337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 1313012421337 its reverse (7331242103131), we get a palindrome (8644254524468).

The spelling of 1313012421337 in words is "one trillion, three hundred thirteen billion, twelve million, four hundred twenty-one thousand, three hundred thirty-seven".