33120032212313 has 8 divisors (see below), whose sum is σ = 33487165547976. Its totient is φ = 32753667744000.

The previous prime is 33120032212307. The next prime is 33120032212361. The reversal of 33120032212313 is 31321223002133.

It can be written as a sum of positive squares in 4 ways, for example, as 1169592501529 + 31950439710784 = 1081477^2 + 5652472^2 .

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 33120032212313 - 2²² = 33120028018009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33120032212363) 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, 192130208 + ... + 192302513.

It is an arithmetic number, because the mean of its divisors is an integer number (4185895693497).

Almost surely, 2^{33120032212313} is an apocalyptic number.

It is an amenable number.

33120032212313 is a deficient number, since it is larger than the sum of its proper divisors (367133335663).

33120032212313 is a wasteful number, since it uses less digits than its factorization.

33120032212313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384433675.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 33120032212313 its reverse (31321223002133), we get a palindrome (64441255214446).

The spelling of 33120032212313 in words is "thirty-three trillion, one hundred twenty billion, thirty-two million, two hundred twelve thousand, three hundred thirteen".