100002232313 has 2 divisors, whose sum is σ = 100002232314. Its totient is φ = 100002232312.

The previous prime is 100002232307. The next prime is 100002232339. The reversal of 100002232313 is 313232200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84197468224 + 15804764089 = 290168^2 + 125717^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002232313 - 2¹⁶ = 100002166777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100002232291 and 100002232300.

It is not a weakly prime, because it can be changed into another prime (100002232613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001116156 + 50001116157.

It is an arithmetic number, because the mean of its divisors is an integer number (50001116157).

Almost surely, 2^100002232313 is an apocalyptic number.

It is an amenable number.

100002232313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002232313 is an equidigital number, since it uses as much as digits as its factorization.

100002232313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100002232313 its reverse (313232200001), we get a palindrome (413234432314).

The spelling of 100002232313 in words is "one hundred billion, two million, two hundred thirty-two thousand, three hundred thirteen".