330311101313133 has 16 divisors (see below), whose sum is σ = 489353236551040. Its totient is φ = 220205845302912.

The previous prime is 330311101313113. The next prime is 330311101313177. The reversal of 330311101313133 is 331313101113033.

330311101313133 is a `hidden beast` number, since 3 + 3 + 0 + 311 + 1 + 0 + 1 + 31 + 313 + 3 = 666.

It is not a de Polignac number, because 330311101313133 - 2¹² = 330311101309037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330311101313097 and 330311101313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330311101313113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39311041 + ... + 46967862.

It is an arithmetic number, because the mean of its divisors is an integer number (30584577284440).

Almost surely, 2^{330311101313133} is an apocalyptic number.

It is an amenable number.

330311101313133 is a deficient number, since it is larger than the sum of its proper divisors (159042135237907).

330311101313133 is a wasteful number, since it uses less digits than its factorization.

330311101313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86420705 (or 86420699 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 330311101313133 its reverse (331313101113033), we get a palindrome (661624202426166).

The spelling of 330311101313133 in words is "three hundred thirty trillion, three hundred eleven billion, one hundred one million, three hundred thirteen thousand, one hundred thirty-three".