1312993441 has 2 divisors, whose sum is σ = 1312993442. Its totient is φ = 1312993440.

The previous prime is 1312993421. The next prime is 1312993459. The reversal of 1312993441 is 1443992131.

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., 1017291025 + 295702416 = 31895^2 + 17196^2 .

It is an emirp because it is prime and its reverse (1443992131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1312993441 - 2²¹ = 1310896289 is a prime.

It is a super-3 number, since 3×1312993441³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1312993441.

It is not a weakly prime, because it can be changed into another prime (1312993421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656496720 + 656496721.

It is an arithmetic number, because the mean of its divisors is an integer number (656496721).

Almost surely, 2^1312993441 is an apocalyptic number.

It is an amenable number.

1312993441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312993441 is an equidigital number, since it uses as much as digits as its factorization.

1312993441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328, while the sum is 37.

The square root of 1312993441 is about 36235.2513583113. The cubic root of 1312993441 is about 1095.0169763080.

The spelling of 1312993441 in words is "one billion, three hundred twelve million, nine hundred ninety-three thousand, four hundred forty-one".