101321133 has 16 divisors (see below), whose sum is σ = 139043520. Its totient is φ = 65581056.

The previous prime is 101321117. The next prime is 101321137. The reversal of 101321133 is 331123101.

It is not a de Polignac number, because 101321133 - 2⁴ = 101321117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321137) 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, 84766 + ... + 85952.

It is an arithmetic number, because the mean of its divisors is an integer number (8690220).

Almost surely, 2^101321133 is an apocalyptic number.

It is an amenable number.

101321133 is a deficient number, since it is larger than the sum of its proper divisors (37722387).

101321133 is a wasteful number, since it uses less digits than its factorization.

101321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 101321133 is about 10065.8399053432. The cubic root of 101321133 is about 466.1939993644.

Adding to 101321133 its reverse (331123101), we get a palindrome (432444234).

The spelling of 101321133 in words is "one hundred one million, three hundred twenty-one thousand, one hundred thirty-three".