101405133 has 6 divisors (see below), whose sum is σ = 146474094. Its totient is φ = 67603416.

The previous prime is 101405131. The next prime is 101405189. The reversal of 101405133 is 331504101.

101405133 is a `hidden beast` number, since 10 + 140 + 513 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60419529 + 40985604 = 7773^2 + 6402^2 .

It is not a de Polignac number, because 101405133 - 2¹ = 101405131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101405131) 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 5 ways as a sum of consecutive naturals, for example, 5633610 + ... + 5633627.

It is an arithmetic number, because the mean of its divisors is an integer number (24412349).

Almost surely, 2^101405133 is an apocalyptic number.

It is an amenable number.

101405133 is a deficient number, since it is larger than the sum of its proper divisors (45068961).

101405133 is a wasteful number, since it uses less digits than its factorization.

101405133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11267243 (or 11267240 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101405133 is about 10070.0115690102. The cubic root of 101405133 is about 466.3227960522.

Adding to 101405133 its reverse (331504101), we get a palindrome (432909234).

The spelling of 101405133 in words is "one hundred one million, four hundred five thousand, one hundred thirty-three".