103301312220033 has 32 divisors (see below), whose sum is σ = 152179478839296. Its totient is φ = 61997754094848.

The previous prime is 103301312220017. The next prime is 103301312220059. The reversal of 103301312220033 is 330022213103301.

It is not a de Polignac number, because 103301312220033 - 2⁴ = 103301312220017 is a prime.

It is a super-2 number, since 2×103301312220033² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103301312219985 and 103301312220012.

It is not an unprimeable number, because it can be changed into a prime (103301312220083) 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 31 ways as a sum of consecutive naturals, for example, 127221216 + ... + 128030622.

It is an arithmetic number, because the mean of its divisors is an integer number (4755608713728).

Almost surely, 2^{103301312220033} is an apocalyptic number.

It is an amenable number.

103301312220033 is a deficient number, since it is larger than the sum of its proper divisors (48878166619263).

103301312220033 is a wasteful number, since it uses less digits than its factorization.

103301312220033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918253.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103301312220033 its reverse (330022213103301), we get a palindrome (433323525323334).

The spelling of 103301312220033 in words is "one hundred three trillion, three hundred one billion, three hundred twelve million, two hundred twenty thousand, thirty-three".