133122242221331 has 6 divisors (see below), whose sum is σ = 146324448061596. Its totient is φ = 121020220201100.

The previous prime is 133122242221289. The next prime is 133122242221333.

133122242221331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133122242221331 - 2²² = 133122238027027 is a prime.

It is a super-2 number, since 2×133122242221331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133122242221333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550091909885 + ... + 550091910126.

It is an arithmetic number, because the mean of its divisors is an integer number (24387408010266).

Almost surely, 2^{133122242221331} is an apocalyptic number.

133122242221331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133122242221331 is a deficient number, since it is larger than the sum of its proper divisors (13202205840265).

133122242221331 is a wasteful number, since it uses less digits than its factorization.

133122242221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100183820033 (or 1100183820022 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The spelling of 133122242221331 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, two hundred forty-two million, two hundred twenty-one thousand, three hundred thirty-one".