101871133 has 16 divisors (see below), whose sum is σ = 125646976. Its totient is φ = 80429760.

The previous prime is 101871131. The next prime is 101871139. The reversal of 101871133 is 331178101.

It is a cyclic number.

It is not a de Polignac number, because 101871133 - 2¹ = 101871131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101871098 and 101871107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101871131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57643 + ... + 59383.

It is an arithmetic number, because the mean of its divisors is an integer number (7852936).

Almost surely, 2^101871133 is an apocalyptic number.

101871133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101871133 is a deficient number, since it is larger than the sum of its proper divisors (23775843).

101871133 is a wasteful number, since it uses less digits than its factorization.

101871133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 101871133 is about 10093.1230548329. The cubic root of 101871133 is about 467.0360222692.

The spelling of 101871133 in words is "one hundred one million, eight hundred seventy-one thousand, one hundred thirty-three".