103003133003120 has 80 divisors (see below), whose sum is σ = 288098988579840. Its totient is φ = 33456656731392.

The previous prime is 103003133003107. The next prime is 103003133003161. The reversal of 103003133003120 is 21300331300301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103003133003092 and 103003133003101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4840362152 + ... + 4840383431.

It is an arithmetic number, because the mean of its divisors is an integer number (3601237357248).

Almost surely, 2^{103003133003120} is an apocalyptic number.

103003133003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103003133003120 is an abundant number, since it is smaller than the sum of its proper divisors (185095855576720).

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

103003133003120 is a wasteful number, since it uses less digits than its factorization.

103003133003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680745622 (or 9680745616 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 103003133003120 its reverse (21300331300301), we get a palindrome (124303464303421).

The spelling of 103003133003120 in words is "one hundred three trillion, three billion, one hundred thirty-three million, three thousand, one hundred twenty".