133013828310331 has 8 divisors (see below), whose sum is σ = 137658013375680. Its totient is φ = 128373476667072.

The previous prime is 133013828310329. The next prime is 133013828310383.

It is a happy number.

133013828310331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133013828310331 - 2¹ = 133013828310329 is a prime.

It is a super-2 number, since 2×133013828310331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133013828310931) 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 7 ways as a sum of consecutive naturals, for example, 958284915 + ... + 958423708.

It is an arithmetic number, because the mean of its divisors is an integer number (17207251671960).

Almost surely, 2^{133013828310331} is an apocalyptic number.

133013828310331 is a deficient number, since it is larger than the sum of its proper divisors (4644185065349).

133013828310331 is a wasteful number, since it uses less digits than its factorization.

133013828310331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916711045.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 133013828310331 in words is "one hundred thirty-three trillion, thirteen billion, eight hundred twenty-eight million, three hundred ten thousand, three hundred thirty-one".