133311332030013 has 72 divisors (see below), whose sum is σ = 205024927872960. Its totient is φ = 83453930588160.

The previous prime is 133311332029973. The next prime is 133311332030021. The reversal of 133311332030013 is 310030233113331.

133311332030013 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 11 + 332 + 0 + 300 + 13 = 666.

It is not a de Polignac number, because 133311332030013 - 2⁹ = 133311332029501 is a prime.

It is a super-2 number, since 2×133311332030013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133311332030713) 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 71 ways as a sum of consecutive naturals, for example, 6344824678 + ... + 6344845688.

It is an arithmetic number, because the mean of its divisors is an integer number (2847568442680).

Almost surely, 2^{133311332030013} is an apocalyptic number.

It is an amenable number.

133311332030013 is a deficient number, since it is larger than the sum of its proper divisors (71713595842947).

133311332030013 is a wasteful number, since it uses less digits than its factorization.

133311332030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26547 (or 26527 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 133311332030013 its reverse (310030233113331), we get a palindrome (443341565143344).

The spelling of 133311332030013 in words is "one hundred thirty-three trillion, three hundred eleven billion, three hundred thirty-two million, thirty thousand, thirteen".