101311133 has 8 divisors (see below), whose sum is σ = 126310080. Its totient is φ = 78943680.

The previous prime is 101311087. The next prime is 101311151. The reversal of 101311133 is 331113101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101311133 - 2¹⁸ = 101048989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311153) 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 7 ways as a sum of consecutive naturals, for example, 657788 + ... + 657941.

It is an arithmetic number, because the mean of its divisors is an integer number (15788760).

Almost surely, 2^101311133 is an apocalyptic number.

It is an amenable number.

101311133 is a deficient number, since it is larger than the sum of its proper divisors (24998947).

101311133 is a wasteful number, since it uses less digits than its factorization.

101311133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315747.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 101311133 is about 10065.3431635489. The cubic root of 101311133 is about 466.1786616843.

Adding to 101311133 its reverse (331113101), we get a palindrome (432424234).

The spelling of 101311133 in words is "one hundred one million, three hundred eleven thousand, one hundred thirty-three".