100203122313 has 24 divisors (see below), whose sum is σ = 169449186816. Its totient is φ = 55862366400.

The previous prime is 100203122311. The next prime is 100203122351. The reversal of 100203122313 is 313221302001.

100203122313 is a `hidden beast` number, since 100 + 20 + 312 + 231 + 3 = 666.

It is not a de Polignac number, because 100203122313 - 2¹ = 100203122311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100203122311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19394073 + ... + 19399238.

It is an arithmetic number, because the mean of its divisors is an integer number (7060382784).

Almost surely, 2^100203122313 is an apocalyptic number.

It is an amenable number.

100203122313 is a deficient number, since it is larger than the sum of its proper divisors (69246064503).

100203122313 is a wasteful number, since it uses less digits than its factorization.

100203122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38793365 (or 38793362 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100203122313 its reverse (313221302001), we get a palindrome (413424424314).

The spelling of 100203122313 in words is "one hundred billion, two hundred three million, one hundred twenty-two thousand, three hundred thirteen".