100313003323100 has 72 divisors (see below), whose sum is σ = 219303172604880. Its totient is φ = 39826007239680.

The previous prime is 100313003323087. The next prime is 100313003323229. The reversal of 100313003323100 is 1323300313001.

It is a super-2 number, since 2×100313003323100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51771374 + ... + 53674026.

It is an arithmetic number, because the mean of its divisors is an integer number (3045877397290).

Almost surely, 2^{100313003323100} is an apocalyptic number.

100313003323100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100313003323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109651586302440).

100313003323100 is an abundant number, since it is smaller than the sum of its proper divisors (118990169281780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100313003323100 is a wasteful number, since it uses less digits than its factorization.

100313003323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906599 (or 1906592 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 100313003323100 its reverse (1323300313001), we get a palindrome (101636303636101).

The spelling of 100313003323100 in words is "one hundred trillion, three hundred thirteen billion, three million, three hundred twenty-three thousand, one hundred".