100312434101003 has 24 divisors (see below), whose sum is σ = 101371551877440. Its totient is φ = 99263590594560.

The previous prime is 100312434100999. The next prime is 100312434101017. The reversal of 100312434101003 is 300101434213001.

It is not a de Polignac number, because 100312434101003 - 2² = 100312434100999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100312434101003.

It is not an unprimeable number, because it can be changed into a prime (100312434101083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19067177393 + ... + 19067182653.

It is an arithmetic number, because the mean of its divisors is an integer number (4223814661560).

Almost surely, 2^{100312434101003} is an apocalyptic number.

100312434101003 is a deficient number, since it is larger than the sum of its proper divisors (1059117776437).

100312434101003 is an equidigital number, since it uses as much as digits as its factorization.

100312434101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8456 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 100312434101003 its reverse (300101434213001), we get a palindrome (400413868314004).

The spelling of 100312434101003 in words is "one hundred trillion, three hundred twelve billion, four hundred thirty-four million, one hundred one thousand, three".