10011133101 has 16 divisors (see below), whose sum is σ = 13482819584. Its totient is φ = 6606816624.

The previous prime is 10011133091. The next prime is 10011133141. The reversal of 10011133101 is 10133111001.

10011133101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011133101 - 2¹⁹ = 10010608813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011133141) 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 15 ways as a sum of consecutive naturals, for example, 1221720 + ... + 1229886.

It is an arithmetic number, because the mean of its divisors is an integer number (842676224).

Almost surely, 2^10011133101 is an apocalyptic number.

It is an amenable number.

10011133101 is a deficient number, since it is larger than the sum of its proper divisors (3471686483).

10011133101 is a wasteful number, since it uses less digits than its factorization.

10011133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12240.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10011133101 its reverse (10133111001), we get a palindrome (20144244102).

The spelling of 10011133101 in words is "ten billion, eleven million, one hundred thirty-three thousand, one hundred one".