133556655331 has 48 divisors (see below), whose sum is σ = 164027112480. Its totient is φ = 107988249600.

The previous prime is 133556655299. The next prime is 133556655341.

133556655331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133556655331 - 2⁵ = 133556655299 is a prime.

It is a super-2 number, since 2×133556655331² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (133556655341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16449885 + ... + 16458001.

It is an arithmetic number, because the mean of its divisors is an integer number (3417231510).

Almost surely, 2^133556655331 is an apocalyptic number.

133556655331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133556655331 is a deficient number, since it is larger than the sum of its proper divisors (30470457149).

133556655331 is a wasteful number, since it uses less digits than its factorization.

133556655331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596 (or 8585 counting only the distinct ones).

The product of its digits is 1822500, while the sum is 46.

It can be divided in two parts, 133556 and 655331, that added together give a palindrome (788887).

The spelling of 133556655331 in words is "one hundred thirty-three billion, five hundred fifty-six million, six hundred fifty-five thousand, three hundred thirty-one".