100313112102003 has 24 divisors (see below), whose sum is σ = 147354521371200. Its totient is φ = 65741066693424.

The previous prime is 100313112101999. The next prime is 100313112102011. The reversal of 100313112102003 is 300201211313001.

100313112102003 is a `hidden beast` number, since 100 + 31 + 311 + 21 + 0 + 200 + 3 = 666.

It is not a de Polignac number, because 100313112102003 - 2² = 100313112101999 is a prime.

It is a super-2 number, since 2×100313112102003² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100313112102503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40741876 + ... + 43133822.

It is an arithmetic number, because the mean of its divisors is an integer number (6139771723800).

Almost surely, 2^{100313112102003} is an apocalyptic number.

100313112102003 is a deficient number, since it is larger than the sum of its proper divisors (47041409269197).

100313112102003 is a wasteful number, since it uses less digits than its factorization.

100313112102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470991 (or 2470988 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100313112102003 its reverse (300201211313001), we get a palindrome (400514323415004).

The spelling of 100313112102003 in words is "one hundred trillion, three hundred thirteen billion, one hundred twelve million, one hundred two thousand, three".