133213101 has 32 divisors (see below), whose sum is σ = 207863040. Its totient is φ = 74317824.

The previous prime is 133213063. The next prime is 133213109. The reversal of 133213101 is 101312331.

It is not a de Polignac number, because 133213101 - 2⁹ = 133212589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133213109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172845 + ... + 173613.

It is an arithmetic number, because the mean of its divisors is an integer number (6495720).

Almost surely, 2^133213101 is an apocalyptic number.

It is an amenable number.

133213101 is a deficient number, since it is larger than the sum of its proper divisors (74649939).

133213101 is a wasteful number, since it uses less digits than its factorization.

133213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965.

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

The square root of 133213101 is about 11541.7979968461. The cubic root of 133213101 is about 510.7193501306.

Adding to 133213101 its reverse (101312331), we get a palindrome (234525432).

The spelling of 133213101 in words is "one hundred thirty-three million, two hundred thirteen thousand, one hundred one".