101001113133 has 32 divisors (see below), whose sum is σ = 146421878400. Its totient is φ = 61691535360.

The previous prime is 101001113131. The next prime is 101001113141. The reversal of 101001113133 is 331311100101.

It is not a de Polignac number, because 101001113133 - 2¹ = 101001113131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001113131) 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 31 ways as a sum of consecutive naturals, for example, 134418 + ... + 469116.

It is an arithmetic number, because the mean of its divisors is an integer number (4575683700).

Almost surely, 2^101001113133 is an apocalyptic number.

It is an amenable number.

101001113133 is a deficient number, since it is larger than the sum of its proper divisors (45420765267).

101001113133 is a wasteful number, since it uses less digits than its factorization.

101001113133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334877.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 101001113133 its reverse (331311100101), we get a palindrome (432312213234).

The spelling of 101001113133 in words is "one hundred one billion, one million, one hundred thirteen thousand, one hundred thirty-three".