103132113120 has 72 divisors (see below), whose sum is σ = 351938340936. Its totient is φ = 27501896448.

The previous prime is 103132113089. The next prime is 103132113121. The reversal of 103132113120 is 21311231301.

103132113120 is a `hidden beast` number, since 1 + 0 + 31 + 321 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×103132113120² (a number of 23 digits) contains 22 as substring.

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 = 103132113093 and 103132113102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132113121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35808322 + ... + 35811201.

It is an arithmetic number, because the mean of its divisors is an integer number (4888032513).

Almost surely, 2^103132113120 is an apocalyptic number.

103132113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103132113120 is an abundant number, since it is smaller than the sum of its proper divisors (248806227816).

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

103132113120 is a wasteful number, since it uses less digits than its factorization.

103132113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71619544 (or 71619533 counting only the distinct ones).

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

Adding to 103132113120 its reverse (21311231301), we get a palindrome (124443344421).

The spelling of 103132113120 in words is "one hundred three billion, one hundred thirty-two million, one hundred thirteen thousand, one hundred twenty".