10133312101 has 12 divisors (see below), whose sum is σ = 11622544416. Its totient is φ = 8811573320.

The previous prime is 10133312083. The next prime is 10133312107. The reversal of 10133312101 is 10121333101.

It is not a de Polignac number, because 10133312101 - 2⁵ = 10133312069 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 (10133312107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1817791 + ... + 1823356.

It is an arithmetic number, because the mean of its divisors is an integer number (968545368).

Almost surely, 2^10133312101 is an apocalyptic number.

10133312101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10133312101 is a deficient number, since it is larger than the sum of its proper divisors (1489232315).

10133312101 is a wasteful number, since it uses less digits than its factorization.

10133312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641192 (or 3641181 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10133312101 its reverse (10121333101), we get a palindrome (20254645202).

The spelling of 10133312101 in words is "ten billion, one hundred thirty-three million, three hundred twelve thousand, one hundred one".