10011300993 has 12 divisors (see below), whose sum is σ = 14813470308. Its totient is φ = 6511415040.

The previous prime is 10011300973. The next prime is 10011301019. The reversal of 10011300993 is 39900311001.

It can be written as a sum of positive squares in 2 ways, for example, as 2886590529 + 7124710464 = 53727^2 + 84408^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10011300993 is a prime.

It is a super-2 number, since 2×10011300993² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10011300913) 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 11 ways as a sum of consecutive naturals, for example, 13565080 + ... + 13565817.

It is an arithmetic number, because the mean of its divisors is an integer number (1234455859).

Almost surely, 2^10011300993 is an apocalyptic number.

It is an amenable number.

10011300993 is a deficient number, since it is larger than the sum of its proper divisors (4802169315).

10011300993 is a wasteful number, since it uses less digits than its factorization.

10011300993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27130944 (or 27130941 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

Adding to 10011300993 its reverse (39900311001), we get a palindrome (49911611994).

The spelling of 10011300993 in words is "ten billion, eleven million, three hundred thousand, nine hundred ninety-three".