100224202313 has 2 divisors, whose sum is σ = 100224202314. Its totient is φ = 100224202312.

The previous prime is 100224202301. The next prime is 100224202327. The reversal of 100224202313 is 313202422001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93044521024 + 7179681289 = 305032^2 + 84733^2 .

It is a cyclic number.

It is not a de Polignac number, because 100224202313 - 2¹⁶ = 100224136777 is a prime.

It is not a weakly prime, because it can be changed into another prime (100224202363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50112101156 + 50112101157.

It is an arithmetic number, because the mean of its divisors is an integer number (50112101157).

Almost surely, 2^100224202313 is an apocalyptic number.

It is an amenable number.

100224202313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100224202313 is an equidigital number, since it uses as much as digits as its factorization.

100224202313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100224202313 its reverse (313202422001), we get a palindrome (413426624314).

The spelling of 100224202313 in words is "one hundred billion, two hundred twenty-four million, two hundred two thousand, three hundred thirteen".