330133101331033 has 48 divisors (see below), whose sum is σ = 446623179851520. Its totient is φ = 237453296952960.

The previous prime is 330133101330983. The next prime is 330133101331063.

330133101331033 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-330133101331033 is a prime.

It is a super-2 number, since 2×330133101331033² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330133101330992 and 330133101331010.

It is not an unprimeable number, because it can be changed into a prime (330133101331063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558942516 + ... + 559532842.

It is an arithmetic number, because the mean of its divisors is an integer number (9304649580240).

Almost surely, 2^{330133101331033} is an apocalyptic number.

It is an amenable number.

330133101331033 is a deficient number, since it is larger than the sum of its proper divisors (116490078520487).

330133101331033 is a wasteful number, since it uses less digits than its factorization.

330133101331033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641158 (or 641147 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 28.

It can be divided in two parts, 33013310 and 1331033, that added together give a palindrome (34344343).

The spelling of 330133101331033 in words is "three hundred thirty trillion, one hundred thirty-three billion, one hundred one million, three hundred thirty-one thousand, thirty-three".