100313121233 has 8 divisors (see below), whose sum is σ = 109143222888. Its totient is φ = 91642120704.

The previous prime is 100313121203. The next prime is 100313121257. The reversal of 100313121233 is 332121313001.

It can be written as a sum of positive squares in 4 ways, for example, as 10188277969 + 90124843264 = 100937^2 + 300208^2 .

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 100313121233 - 2¹² = 100313117137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100313121203) 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 7 ways as a sum of consecutive naturals, for example, 39773966 + ... + 39776487.

It is an arithmetic number, because the mean of its divisors is an integer number (13642902861).

Almost surely, 2^100313121233 is an apocalyptic number.

100313121233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100313121233 is a deficient number, since it is larger than the sum of its proper divisors (8830101655).

100313121233 is an equidigital number, since it uses as much as digits as its factorization.

100313121233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79550563.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100313121233 its reverse (332121313001), we get a palindrome (432434434234).

The spelling of 100313121233 in words is "one hundred billion, three hundred thirteen million, one hundred twenty-one thousand, two hundred thirty-three".