100322312433133 has 32 divisors (see below), whose sum is σ = 122218877952000. Its totient is φ = 80431772428800.

The previous prime is 100322312433127. The next prime is 100322312433151. The reversal of 100322312433133 is 331334213223001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100322312433133 is a prime.

It is a super-2 number, since 2×100322312433133² (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 = 100322312433095 and 100322312433104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100322312436133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705673608 + ... + 705815758.

It is an arithmetic number, because the mean of its divisors is an integer number (3819339936000).

Almost surely, 2^{100322312433133} is an apocalyptic number.

It is an amenable number.

100322312433133 is a deficient number, since it is larger than the sum of its proper divisors (21896565518867).

100322312433133 is a wasteful number, since it uses less digits than its factorization.

100322312433133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209425.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 100322312433133 its reverse (331334213223001), we get a palindrome (431656525656134).

The spelling of 100322312433133 in words is "one hundred trillion, three hundred twenty-two billion, three hundred twelve million, four hundred thirty-three thousand, one hundred thirty-three".