103032131112120 has 512 divisors, whose sum is σ = 372813758300160. Its totient is φ = 22270913280000.

The previous prime is 103032131112073. The next prime is 103032131112151. The reversal of 103032131112120 is 21211131230301.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 127 ways as a sum of consecutive naturals, for example, 615470830 + ... + 615638210.

It is an arithmetic number, because the mean of its divisors is an integer number (728151871680).

Almost surely, 2^{103032131112120} is an apocalyptic number.

103032131112120 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 103032131112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186406879150080).

103032131112120 is an abundant number, since it is smaller than the sum of its proper divisors (269781627188040).

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

103032131112120 is a wasteful number, since it uses less digits than its factorization.

103032131112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167787 (or 167783 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 103032131112120 its reverse (21211131230301), we get a palindrome (124243262342421).

The spelling of 103032131112120 in words is "one hundred three trillion, thirty-two billion, one hundred thirty-one million, one hundred twelve thousand, one hundred twenty".