1313011993 has 2 divisors, whose sum is σ = 1313011994. Its totient is φ = 1313011992.

The previous prime is 1313011991. The next prime is 1313012027. The reversal of 1313011993 is 3991103131.

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., 933424704 + 379587289 = 30552^2 + 19483^2 .

It is an emirp because it is prime and its reverse (3991103131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1313011993 - 2¹ = 1313011991 is a prime.

Together with 1313011991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1313011991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656505996 + 656505997.

It is an arithmetic number, because the mean of its divisors is an integer number (656505997).

Almost surely, 2^1313011993 is an apocalyptic number.

It is an amenable number.

1313011993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313011993 is an equidigital number, since it uses as much as digits as its factorization.

1313011993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 31.

The square root of 1313011993 is about 36235.5073512156. The cubic root of 1313011993 is about 1095.0221336477.

The spelling of 1313011993 in words is "one billion, three hundred thirteen million, eleven thousand, nine hundred ninety-three".