1331013193 has 2 divisors, whose sum is σ = 1331013194. Its totient is φ = 1331013192.

The previous prime is 1331013191. The next prime is 1331013209. The reversal of 1331013193 is 3913101331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 739404864 + 591608329 = 27192^2 + 24323^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331013193 - 2¹ = 1331013191 is a prime.

It is a super-2 number, since 2×1331013193² = 3543192239880110498, which contains 22 as substring.

Together with 1331013191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1331013191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665506596 + 665506597.

It is an arithmetic number, because the mean of its divisors is an integer number (665506597).

Almost surely, 2^1331013193 is an apocalyptic number.

It is an amenable number.

1331013193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331013193 is an equidigital number, since it uses as much as digits as its factorization.

1331013193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 25.

The square root of 1331013193 is about 36483.0535043327. The cubic root of 1331013193 is about 1100.0036344233.

The spelling of 1331013193 in words is "one billion, three hundred thirty-one million, thirteen thousand, one hundred ninety-three".