103301010000 has 600 divisors, whose sum is σ = 386695767744. Its totient is φ = 25643520000.

The previous prime is 103301009971. The next prime is 103301010023. The reversal of 103301010000 is 10103301.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 163709685 + ... + 163710315.

Almost surely, 2^103301010000 is an apocalyptic number.

103301010000 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 103301010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193347883872).

103301010000 is an abundant number, since it is smaller than the sum of its proper divisors (283394757744).

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

103301010000 is a wasteful number, since it uses less digits than its factorization.

103301010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 103301010000 its reverse (10103301), we get a palindrome (103311113301).

It can be divided in two parts, 103 and 301010000, that added together give a palindrome (301010103).

The spelling of 103301010000 in words is "one hundred three billion, three hundred one million, ten thousand".