133013828310931 has 2 divisors, whose sum is σ = 133013828310932. Its totient is φ = 133013828310930.

The previous prime is 133013828310929. The next prime is 133013828310943. The reversal of 133013828310931 is 139013828310331.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 133013828310931 - 2¹ = 133013828310929 is a prime.

It is a super-2 number, since 2×133013828310931² (a number of 29 digits) contains 22 as substring.

Together with 133013828310929, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (133013828110931) 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 as a sum of consecutive naturals, namely, 66506914155465 + 66506914155466.

It is an arithmetic number, because the mean of its divisors is an integer number (66506914155466).

Almost surely, 2^{133013828310931} is an apocalyptic number.

133013828310931 is a deficient number, since it is larger than the sum of its proper divisors (1).

133013828310931 is an equidigital number, since it uses as much as digits as its factorization.

133013828310931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 133013828310931 in words is "one hundred thirty-three trillion, thirteen billion, eight hundred twenty-eight million, three hundred ten thousand, nine hundred thirty-one".