103303312010010 has 192 divisors, whose sum is σ = 312314422118400. Its totient is φ = 23200578043776.

The previous prime is 103303312010009. The next prime is 103303312010021. The reversal of 103303312010010 is 10010213303301.

It is a happy number.

103303312010010 is a `hidden beast` number, since 1 + 0 + 330 + 3 + 312 + 0 + 10 + 0 + 10 = 666.

103303312010010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75108117 + ... + 76471143.

It is an arithmetic number, because the mean of its divisors is an integer number (1626637615200).

Almost surely, 2^{103303312010010} is an apocalyptic number.

103303312010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103303312010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156157211059200).

103303312010010 is an abundant number, since it is smaller than the sum of its proper divisors (209011110108390).

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

103303312010010 is a wasteful number, since it uses less digits than its factorization.

103303312010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365145 (or 1365142 counting only the distinct ones).

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

Adding to 103303312010010 its reverse (10010213303301), we get a palindrome (113313525313311).

The spelling of 103303312010010 in words is "one hundred three trillion, three hundred three billion, three hundred twelve million, ten thousand, ten".