103001333100 has 72 divisors (see below), whose sum is σ = 298083577680. Its totient is φ = 27460903680.

The previous prime is 103001333089. The next prime is 103001333233. The reversal of 103001333100 is 1333100301.

103001333100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103001333100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103001333100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1400854 + ... + 1472546.

It is an arithmetic number, because the mean of its divisors is an integer number (4140049690).

Almost surely, 2^103001333100 is an apocalyptic number.

103001333100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103001333100 is an abundant number, since it is smaller than the sum of its proper divisors (195082244580).

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

103001333100 is a wasteful number, since it uses less digits than its factorization.

103001333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76499 (or 76492 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 103001333100 its reverse (1333100301), we get a palindrome (104334433401).

The spelling of 103001333100 in words is "one hundred three billion, one million, three hundred thirty-three thousand, one hundred".