100311123133 has 8 divisors (see below), whose sum is σ = 108055897208. Its totient is φ = 92570425344.

The previous prime is 100311123127. The next prime is 100311123161. The reversal of 100311123133 is 331321113001.

It can be written as a sum of positive squares in 4 ways, for example, as 12480688089 + 87830435044 = 111717^2 + 296362^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100311123133 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 100311123133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311123113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 967860 + ... + 1066477.

It is an arithmetic number, because the mean of its divisors is an integer number (13506987151).

Almost surely, 2^100311123133 is an apocalyptic number.

100311123133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100311123133 is a deficient number, since it is larger than the sum of its proper divisors (7744774075).

100311123133 is a wasteful number, since it uses less digits than its factorization.

100311123133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038143.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100311123133 its reverse (331321113001), we get a palindrome (431632236134).

The spelling of 100311123133 in words is "one hundred billion, three hundred eleven million, one hundred twenty-three thousand, one hundred thirty-three".