330034211513221 has 8 divisors (see below), whose sum is σ = 332139171405944. Its totient is φ = 327929287458240.

The previous prime is 330034211513179. The next prime is 330034211513257. The reversal of 330034211513221 is 122315112430033.

It can be written as a sum of positive squares in 4 ways, for example, as 6273171436900 + 323761040076321 = 2504630^2 + 17993361^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 330034211513221 - 2²⁵ = 330034177958789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330034211513291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9640291 + ... + 27440911.

It is an arithmetic number, because the mean of its divisors is an integer number (41517396425743).

Almost surely, 2^{330034211513221} is an apocalyptic number.

It is an amenable number.

330034211513221 is a deficient number, since it is larger than the sum of its proper divisors (2104959892723).

330034211513221 is a wasteful number, since it uses less digits than its factorization.

330034211513221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17918871.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 330034211513221 its reverse (122315112430033), we get a palindrome (452349323943254).

The spelling of 330034211513221 in words is "three hundred thirty trillion, thirty-four billion, two hundred eleven million, five hundred thirteen thousand, two hundred twenty-one".