100332323013 has 32 divisors (see below), whose sum is σ = 145316469760. Its totient is φ = 61209768960.

The previous prime is 100332322931. The next prime is 100332323083. The reversal of 100332323013 is 310323233001.

It is not a de Polignac number, because 100332323013 - 2¹² = 100332318917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332323083) 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 31 ways as a sum of consecutive naturals, for example, 2072043 + ... + 2119911.

It is an arithmetic number, because the mean of its divisors is an integer number (4541139680).

Almost surely, 2^100332323013 is an apocalyptic number.

100332323013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100332323013 is a deficient number, since it is larger than the sum of its proper divisors (44984146747).

100332323013 is a wasteful number, since it uses less digits than its factorization.

100332323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48349.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 100332323013 its reverse (310323233001), we get a palindrome (410655556014).

The spelling of 100332323013 in words is "one hundred billion, three hundred thirty-two million, three hundred twenty-three thousand, thirteen".