133122331001121 has 48 divisors (see below), whose sum is σ = 225283967400960. Its totient is φ = 69142784985120.

The previous prime is 133122331001111. The next prime is 133122331001129. The reversal of 133122331001121 is 121100133221331.

It is not a de Polignac number, because 133122331001121 - 2¹⁰ = 133122331000097 is a prime.

It is a super-2 number, since 2×133122331001121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133122331001091 and 133122331001100.

It is not an unprimeable number, because it can be changed into a prime (133122331001129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2638900 + ... + 16529018.

It is an arithmetic number, because the mean of its divisors is an integer number (4693415987520).

Almost surely, 2^{133122331001121} is an apocalyptic number.

133122331001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133122331001121 is a deficient number, since it is larger than the sum of its proper divisors (92161636399839).

133122331001121 is a wasteful number, since it uses less digits than its factorization.

133122331001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13896074 (or 13896067 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 133122331001121 its reverse (121100133221331), we get a palindrome (254222464222452).

The spelling of 133122331001121 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, three hundred thirty-one million, one thousand, one hundred twenty-one".