133122121 has 32 divisors (see below), whose sum is σ = 160030080. Its totient is φ = 109363200.

The previous prime is 133122103. The next prime is 133122127. The reversal of 133122121 is 121221331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133122121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133122095 and 133122104.

It is not an unprimeable number, because it can be changed into a prime (133122127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743610 + ... + 743788.

It is an arithmetic number, because the mean of its divisors is an integer number (5000940).

Almost surely, 2^133122121 is an apocalyptic number.

133122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133122121 is a deficient number, since it is larger than the sum of its proper divisors (26907959).

133122121 is a wasteful number, since it uses less digits than its factorization.

133122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345.

The product of its digits is 72, while the sum is 16.

The square root of 133122121 is about 11537.8559966746. The cubic root of 133122121 is about 510.6030556916.

Adding to 133122121 its reverse (121221331), we get a palindrome (254343452).

The spelling of 133122121 in words is "one hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty-one".