103331010330000 has 150 divisors (see below), whose sum is σ = 361363469029134. Its totient is φ = 27554936064000.

The previous prime is 103331010329969. The next prime is 103331010330001. The reversal of 103331010330000 is 33010133301.

103331010330000 is a `hidden beast` number, since 1 + 0 + 3 + 331 + 0 + 1 + 0 + 330 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 31955007071376 + 71376003258624 = 5652876^2 + 8448432^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103331010330001) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 573971169 + ... + 574151168.

Almost surely, 2^{103331010330000} is an apocalyptic number.

103331010330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103331010330000 is an abundant number, since it is smaller than the sum of its proper divisors (258032458699134).

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

103331010330000 is a wasteful number, since it uses less digits than its factorization.

103331010330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148122371 (or 1148122347 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103331010330000 its reverse (33010133301), we get a palindrome (103364020463301).

The spelling of 103331010330000 in words is "one hundred three trillion, three hundred thirty-one billion, ten million, three hundred thirty thousand".