101133136 has 80 divisors (see below), whose sum is σ = 229766544. Its totient is φ = 42688512.

The previous prime is 101133133. The next prime is 101133161. The reversal of 101133136 is 631331101.

It can be written as a sum of positive squares in 8 ways, for example, as 732736 + 100400400 = 856^2 + 10020^2 .

It is a super-2 number, since 2×101133136² = 20455822394388992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130446 + ... + 131218.

Almost surely, 2^101133136 is an apocalyptic number.

101133136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101133136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114883272).

101133136 is an abundant number, since it is smaller than the sum of its proper divisors (128633408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101133136 is a wasteful number, since it uses less digits than its factorization.

101133136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 101133136 is about 10056.4972033010. The cubic root of 101133136 is about 465.9054865516.

Adding to 101133136 its reverse (631331101), we get a palindrome (732464237).

The spelling of 101133136 in words is "one hundred one million, one hundred thirty-three thousand, one hundred thirty-six".