133121131 has 24 divisors (see below), whose sum is σ = 159034320. Its totient is φ = 110448000.

The previous prime is 133121123. The next prime is 133121159. The reversal of 133121131 is 131121331.

It is not a de Polignac number, because 133121131 - 2³ = 133121123 is a prime.

It is a super-2 number, since 2×133121131² = 35442471037438322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133121111) 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 23 ways as a sum of consecutive naturals, for example, 187405 + ... + 188113.

It is an arithmetic number, because the mean of its divisors is an integer number (6626430).

Almost surely, 2^133121131 is an apocalyptic number.

133121131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133121131 is a deficient number, since it is larger than the sum of its proper divisors (25913189).

133121131 is a wasteful number, since it uses less digits than its factorization.

133121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 834 counting only the distinct ones).

The product of its digits is 54, while the sum is 16.

The square root of 133121131 is about 11537.8130943433. The cubic root of 133121131 is about 510.6017899408.

Adding to 133121131 its reverse (131121331), we get a palindrome (264242462).

The spelling of 133121131 in words is "one hundred thirty-three million, one hundred twenty-one thousand, one hundred thirty-one".