102133220330033 has 16 divisors (see below), whose sum is σ = 103069302067200. Its totient is φ = 101200779259200.

The previous prime is 102133220330021. The next prime is 102133220330039. The reversal of 102133220330033 is 330033022331201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102133220330033 - 2²² = 102133216135729 is a prime.

It is a super-2 number, since 2×102133220330033² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102133220329984 and 102133220330011.

It is not an unprimeable number, because it can be changed into a prime (102133220330039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137129360 + ... + 137872142.

It is an arithmetic number, because the mean of its divisors is an integer number (6441831379200).

Almost surely, 2^{102133220330033} is an apocalyptic number.

It is an amenable number.

102133220330033 is a deficient number, since it is larger than the sum of its proper divisors (936081737167).

102133220330033 is a wasteful number, since it uses less digits than its factorization.

102133220330033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745232.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 102133220330033 its reverse (330033022331201), we get a palindrome (432166242661234).

The spelling of 102133220330033 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred twenty million, three hundred thirty thousand, thirty-three".