133355511100331 has 12 divisors (see below), whose sum is σ = 144404248547880. Its totient is φ = 123096086043840.

The previous prime is 133355511100283. The next prime is 133355511100349. The reversal of 133355511100331 is 133001115553331.

It is a de Polignac number, because none of the positive numbers 2^k-133355511100331 is a prime.

It is a super-2 number, since 2×133355511100331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133355511100291 and 133355511100300.

It is not an unprimeable number, because it can be changed into a prime (133355511105331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11929775 + ... + 20224503.

It is an arithmetic number, because the mean of its divisors is an integer number (12033687378990).

Almost surely, 2^{133355511100331} is an apocalyptic number.

133355511100331 is a deficient number, since it is larger than the sum of its proper divisors (11048737447549).

133355511100331 is an equidigital number, since it uses as much as digits as its factorization.

133355511100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389886 (or 8389873 counting only the distinct ones).

The product of its (nonzero) digits is 30375, while the sum is 35.

Adding to 133355511100331 its reverse (133001115553331), we get a palindrome (266356626653662).

The spelling of 133355511100331 in words is "one hundred thirty-three trillion, three hundred fifty-five billion, five hundred eleven million, one hundred thousand, three hundred thirty-one".