330221101122033 has 32 divisors (see below), whose sum is σ = 485414849654784. Its totient is φ = 199669651610000.

The previous prime is 330221101121969. The next prime is 330221101122089.

330221101122033 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 330221101122033 - 2⁶ = 330221101121969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330221101121994 and 330221101122012.

It is not an unprimeable number, because it can be changed into a prime (330221101122733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94218693 + ... + 97660658.

It is an arithmetic number, because the mean of its divisors is an integer number (15169214051712).

Almost surely, 2^{330221101122033} is an apocalyptic number.

330221101122033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

330221101122033 is a deficient number, since it is larger than the sum of its proper divisors (155193748532751).

330221101122033 is a wasteful number, since it uses less digits than its factorization.

330221101122033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191879818 (or 191879796 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 33022110 and 1122033, that added together give a palindrome (34144143).

The spelling of 330221101122033 in words is "three hundred thirty trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, thirty-three".