133116611331 has 32 divisors (see below), whose sum is σ = 194146963200. Its totient is φ = 80459153280.

The previous prime is 133116611311. The next prime is 133116611377.

133116611331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133116611331 - 2⁶ = 133116611267 is a prime.

It is a super-2 number, since 2×133116611331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133116611311) 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, 36598845 + ... + 36602481.

It is an arithmetic number, because the mean of its divisors is an integer number (6067092600).

Almost surely, 2^133116611331 is an apocalyptic number.

133116611331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133116611331 is a deficient number, since it is larger than the sum of its proper divisors (61030351869).

133116611331 is a wasteful number, since it uses less digits than its factorization.

133116611331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339.

The product of its digits is 2916, while the sum is 30.

It can be divided in two parts, 133116 and 611331, that added together give a palindrome (744447).

The spelling of 133116611331 in words is "one hundred thirty-three billion, one hundred sixteen million, six hundred eleven thousand, three hundred thirty-one".