103303131001000 has 256 divisors, whose sum is σ = 283238343198720. Its totient is φ = 34525278720000.

The previous prime is 103303131000913. The next prime is 103303131001159. The reversal of 103303131001000 is 100131303301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342240145 + ... + 342541855.

It is an arithmetic number, because the mean of its divisors is an integer number (1106399778120).

Almost surely, 2^{103303131001000} is an apocalyptic number.

103303131001000 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 103303131001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141619171599360).

103303131001000 is an abundant number, since it is smaller than the sum of its proper divisors (179935212197720).

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

103303131001000 is a wasteful number, since it uses less digits than its factorization.

103303131001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302973 (or 302959 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 103303131001000 its reverse (100131303301), we get a palindrome (103403262304301).

The spelling of 103303131001000 in words is "one hundred three trillion, three hundred three billion, one hundred thirty-one million, one thousand".