103313121120 has 144 divisors (see below), whose sum is σ = 384606632592. Its totient is φ = 25045601280.

The previous prime is 103313121077. The next prime is 103313121173. The reversal of 103313121120 is 21121313301.

103313121120 is a `hidden beast` number, since 1 + 0 + 331 + 312 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 103313121093 and 103313121102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3245307 + ... + 3276986.

It is an arithmetic number, because the mean of its divisors is an integer number (2670879393).

Almost surely, 2^103313121120 is an apocalyptic number.

103313121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313121120 is an abundant number, since it is smaller than the sum of its proper divisors (281293511472).

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

103313121120 is a wasteful number, since it uses less digits than its factorization.

103313121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6522325 (or 6522314 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103313121120 its reverse (21121313301), we get a palindrome (124434434421).

The spelling of 103313121120 in words is "one hundred three billion, three hundred thirteen million, one hundred twenty-one thousand, one hundred twenty".