100200321332213 has 2 divisors, whose sum is σ = 100200321332214. Its totient is φ = 100200321332212.

The previous prime is 100200321332207. The next prime is 100200321332239. The reversal of 100200321332213 is 312233123002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85980498769489 + 14219822562724 = 9272567^2 + 3770918^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200321332213 - 2⁶ = 100200321332149 is a prime.

It is a super-2 number, since 2×100200321332213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100200321332273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100160666106 + 50100160666107.

It is an arithmetic number, because the mean of its divisors is an integer number (50100160666107).

Almost surely, 2^{100200321332213} is an apocalyptic number.

It is an amenable number.

100200321332213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200321332213 is an equidigital number, since it uses as much as digits as its factorization.

100200321332213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 100200321332213 its reverse (312233123002001), we get a palindrome (412433444334214).

The spelling of 100200321332213 in words is "one hundred trillion, two hundred billion, three hundred twenty-one million, three hundred thirty-two thousand, two hundred thirteen".