100333122313 has 2 divisors, whose sum is σ = 100333122314. Its totient is φ = 100333122312.

The previous prime is 100333122289. The next prime is 100333122367. The reversal of 100333122313 is 313221333001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94822732489 + 5510389824 = 307933^2 + 74232^2 .

It is a cyclic number.

It is not a de Polignac number, because 100333122313 - 2¹³ = 100333114121 is a prime.

It is not a weakly prime, because it can be changed into another prime (100333122413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50166561156 + 50166561157.

It is an arithmetic number, because the mean of its divisors is an integer number (50166561157).

Almost surely, 2^100333122313 is an apocalyptic number.

It is an amenable number.

100333122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100333122313 is an equidigital number, since it uses as much as digits as its factorization.

100333122313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 100333122313 its reverse (313221333001), we get a palindrome (413554455314).

The spelling of 100333122313 in words is "one hundred billion, three hundred thirty-three million, one hundred twenty-two thousand, three hundred thirteen".