100143310031113 has 8 divisors (see below), whose sum is σ = 100733165527176. Its totient is φ = 99553856486400.

The previous prime is 100143310031041. The next prime is 100143310031197. The reversal of 100143310031113 is 311130013341001.

It can be written as a sum of positive squares in 4 ways, for example, as 578675139849 + 99564634891264 = 760707^2 + 9978208^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100143310031113 - 2¹⁷ = 100143309900041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100143310031213) 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 7 ways as a sum of consecutive naturals, for example, 99988078 + ... + 100984663.

It is an arithmetic number, because the mean of its divisors is an integer number (12591645690897).

Almost surely, 2^{100143310031113} is an apocalyptic number.

It is an amenable number.

100143310031113 is a deficient number, since it is larger than the sum of its proper divisors (589855496063).

100143310031113 is a wasteful number, since it uses less digits than its factorization.

100143310031113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200975675.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 100143310031113 its reverse (311130013341001), we get a palindrome (411273323372114).

The spelling of 100143310031113 in words is "one hundred trillion, one hundred forty-three billion, three hundred ten million, thirty-one thousand, one hundred thirteen".