33533213313345 has 128 divisors (see below), whose sum is σ = 57020350464000. Its totient is φ = 16800445132800.

The previous prime is 33533213313343. The next prime is 33533213313367. The reversal of 33533213313345 is 54331331233533.

It is not a de Polignac number, because 33533213313345 - 2¹ = 33533213313343 is a prime.

It is a super-2 number, since 2×33533213313345² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33533213313297 and 33533213313306.

It is not an unprimeable number, because it can be changed into a prime (33533213313343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7212992581 + ... + 7212997229.

It is an arithmetic number, because the mean of its divisors is an integer number (445471488000).

Almost surely, 2^{33533213313345} is an apocalyptic number.

It is an amenable number.

33533213313345 is a deficient number, since it is larger than the sum of its proper divisors (23487137150655).

33533213313345 is a wasteful number, since it uses less digits than its factorization.

33533213313345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551.

The product of its digits is 1312200, while the sum is 42.

Adding to 33533213313345 its reverse (54331331233533), we get a palindrome (87864544546878).

It can be divided in two parts, 3353321 and 3313345, that added together give a palindrome (6666666).

The spelling of 33533213313345 in words is "thirty-three trillion, five hundred thirty-three billion, two hundred thirteen million, three hundred thirteen thousand, three hundred forty-five".