133121121331 has 4 divisors (see below), whose sum is σ = 145223041464. Its totient is φ = 121019201200.

The previous prime is 133121121307. The next prime is 133121121359.

133121121331 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 133121121331 - 2¹¹ = 133121119283 is a prime.

It is a super-2 number, since 2×133121121331² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133121125331) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6050960050 + ... + 6050960071.

It is an arithmetic number, because the mean of its divisors is an integer number (36305760366).

Almost surely, 2^133121121331 is an apocalyptic number.

133121121331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133121121331 is a deficient number, since it is larger than the sum of its proper divisors (12101920133).

133121121331 is a wasteful number, since it uses less digits than its factorization.

133121121331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12101920132.

The product of its digits is 324, while the sum is 22.

It can be divided in two parts, 133121 and 121331, that added together give a palindrome (254452).

The spelling of 133121121331 in words is "one hundred thirty-three billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred thirty-one".