330311213210133 has 12 divisors (see below), whose sum is σ = 477118538648128. Its totient is φ = 220206394647720.

The previous prime is 330311213210107. The next prime is 330311213210159. The reversal of 330311213210133 is 331012312113033.

330311213210133 is a `hidden beast` number, since 3 + 3 + 0 + 311 + 2 + 1 + 3 + 210 + 133 = 666.

It is an interprime number because it is at equal distance from previous prime (330311213210107) and next prime (330311213210159).

It is not a de Polignac number, because 330311213210133 - 2³⁴ = 330294033340949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330311213210097 and 330311213210106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330311213710133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88131085 + ... + 91802562.

Almost surely, 2^{330311213210133} is an apocalyptic number.

It is an amenable number.

330311213210133 is a deficient number, since it is larger than the sum of its proper divisors (146807325437995).

330311213210133 is a wasteful number, since it uses less digits than its factorization.

330311213210133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180137624 (or 180137621 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 330311213210133 its reverse (331012312113033), we get a palindrome (661323525323166).

The spelling of 330311213210133 in words is "three hundred thirty trillion, three hundred eleven billion, two hundred thirteen million, two hundred ten thousand, one hundred thirty-three".