10093753813 has 24 divisors (see below), whose sum is σ = 12009252024. Its totient is φ = 8427027840.

The previous prime is 10093753801. The next prime is 10093753829. The reversal of 10093753813 is 31835739001.

It can be written as a sum of positive squares in 4 ways, for example, as 286218724 + 9807535089 = 16918^2 + 99033^2 .

It is not a de Polignac number, because 10093753813 - 2¹³ = 10093745621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093753013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293595 + ... + 326167.

It is an arithmetic number, because the mean of its divisors is an integer number (500385501).

Almost surely, 2^10093753813 is an apocalyptic number.

10093753813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10093753813 is a deficient number, since it is larger than the sum of its proper divisors (1915498211).

10093753813 is a wasteful number, since it uses less digits than its factorization.

10093753813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32805 (or 32794 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 10093753813 in words is "ten billion, ninety-three million, seven hundred fifty-three thousand, eight hundred thirteen".