133312031113033 has 2 divisors, whose sum is σ = 133312031113034. Its totient is φ = 133312031113032.

The previous prime is 133312031113031. The next prime is 133312031113043. The reversal of 133312031113033 is 330311130213331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76209268363264 + 57102762749769 = 8729792^2 + 7556637^2 .

It is a cyclic number.

It is not a de Polignac number, because 133312031113033 - 2¹ = 133312031113031 is a prime.

It is a super-2 number, since 2×133312031113033² (a number of 29 digits) contains 22 as substring.

Together with 133312031113031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 133312031112992 and 133312031113010.

It is not a weakly prime, because it can be changed into another prime (133312031113031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66656015556516 + 66656015556517.

It is an arithmetic number, because the mean of its divisors is an integer number (66656015556517).

Almost surely, 2^{133312031113033} is an apocalyptic number.

It is an amenable number.

133312031113033 is a deficient number, since it is larger than the sum of its proper divisors (1).

133312031113033 is an equidigital number, since it uses as much as digits as its factorization.

133312031113033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 133312031113033 its reverse (330311130213331), we get a palindrome (463623161326364).

The spelling of 133312031113033 in words is "one hundred thirty-three trillion, three hundred twelve billion, thirty-one million, one hundred thirteen thousand, thirty-three".