100000033313 has 4 divisors (see below), whose sum is σ = 100000881540. Its totient is φ = 99999185088.

The previous prime is 100000033307. The next prime is 100000033339. The reversal of 100000033313 is 313330000001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 52712486464 + 47287546849 = 229592^2 + 217457^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000033313 - 2¹⁶ = 99999967777 is a prime.

It is a super-2 number, since 2×100000033313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000033303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211868 + ... + 494861.

It is an arithmetic number, because the mean of its divisors is an integer number (25000220385).

Almost surely, 2^100000033313 is an apocalyptic number.

It is an amenable number.

100000033313 is a deficient number, since it is larger than the sum of its proper divisors (848227).

100000033313 is an equidigital number, since it uses as much as digits as its factorization.

100000033313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848226.

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 100000033313 its reverse (313330000001), we get a palindrome (413330033314).

The spelling of 100000033313 in words is "one hundred billion, thirty-three thousand, three hundred thirteen".