1313121393 has 6 divisors (see below), whose sum is σ = 1896730914. Its totient is φ = 875414256.

The previous prime is 1313121367. The next prime is 1313121437. The reversal of 1313121393 is 3931213131.

It can be written as a sum of positive squares in only one way, i.e., 1235381904 + 77739489 = 35148^2 + 8817^2 .

It is not a de Polignac number, because 1313121393 - 2⁹ = 1313120881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313121193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72951180 + ... + 72951197.

It is an arithmetic number, because the mean of its divisors is an integer number (316121819).

Almost surely, 2^1313121393 is an apocalyptic number.

It is an amenable number.

1313121393 is a deficient number, since it is larger than the sum of its proper divisors (583609521).

1313121393 is a wasteful number, since it uses less digits than its factorization.

1313121393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145902383 (or 145902380 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 1313121393 is about 36237.0168888114. The cubic root of 1313121393 is about 1095.0525451735.

The spelling of 1313121393 in words is "one billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred ninety-three".