1013132993 has 2 divisors, whose sum is σ = 1013132994. Its totient is φ = 1013132992.

The previous prime is 1013132983. The next prime is 1013133047. The reversal of 1013132993 is 3992313101.

1013132993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 545362609 + 467770384 = 23353^2 + 21628^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013132993 - 2⁴ = 1013132977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1013132903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506566496 + 506566497.

It is an arithmetic number, because the mean of its divisors is an integer number (506566497).

Almost surely, 2^1013132993 is an apocalyptic number.

It is an amenable number.

1013132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013132993 is an equidigital number, since it uses as much as digits as its factorization.

1013132993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 1013132993 is about 31829.7501246868. The cubic root of 1013132993 is about 1004.3586389980.

The spelling of 1013132993 in words is "one billion, thirteen million, one hundred thirty-two thousand, nine hundred ninety-three".