10001133213 has 8 divisors (see below), whose sum is σ = 13394642688. Its totient is φ = 6637522944.

The previous prime is 10001133211. The next prime is 10001133251. The reversal of 10001133213 is 31233110001.

10001133213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10001133213 - 2¹ = 10001133211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001133192 and 10001133201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001133211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7474020 + ... + 7475357.

It is an arithmetic number, because the mean of its divisors is an integer number (1674330336).

Almost surely, 2^10001133213 is an apocalyptic number.

It is an amenable number.

10001133213 is a deficient number, since it is larger than the sum of its proper divisors (3393509475).

10001133213 is a wasteful number, since it uses less digits than its factorization.

10001133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14949603.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10001133213 its reverse (31233110001), we get a palindrome (41234243214).

The spelling of 10001133213 in words is "ten billion, one million, one hundred thirty-three thousand, two hundred thirteen".