103310003301120 has 1440 divisors, whose sum is σ = 461219767303680. Its totient is φ = 21451070177280.

The previous prime is 103310003301083. The next prime is 103310003301133. The reversal of 103310003301120 is 21103300013301.

It is a happy number.

103310003301120 is a `hidden beast` number, since 1 + 0 + 3 + 310 + 0 + 0 + 330 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 103310003301093 and 103310003301102.

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 159 ways as a sum of consecutive naturals, for example, 12925055844 + ... + 12925063836.

It is an arithmetic number, because the mean of its divisors is an integer number (320291505072).

Almost surely, 2^{103310003301120} is an apocalyptic number.

103310003301120 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 103310003301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230609883651840).

103310003301120 is an abundant number, since it is smaller than the sum of its proper divisors (357909764002560).

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

103310003301120 is a wasteful number, since it uses less digits than its factorization.

103310003301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663 (or 9640 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103310003301120 its reverse (21103300013301), we get a palindrome (124413303314421).

The spelling of 103310003301120 in words is "one hundred three trillion, three hundred ten billion, three million, three hundred one thousand, one hundred twenty".