103132320000000 has 768 divisors, whose sum is σ = 353039283717120. Its totient is φ = 26754048000000.

The previous prime is 103132319999981. The next prime is 103132320000007. The reversal of 103132320000000 is 23231301.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132320000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17759997097 + ... + 17760002903.

It is an arithmetic number, because the mean of its divisors is an integer number (459686567340).

Almost surely, 2^{103132320000000} is an apocalyptic number.

103132320000000 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 103132320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176519641858560).

103132320000000 is an abundant number, since it is smaller than the sum of its proper divisors (249906963717120).

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

103132320000000 is an frugal number, since it uses more digits than its factorization.

103132320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103132320000000 its reverse (23231301), we get a palindrome (103132343231301).

The spelling of 103132320000000 in words is "one hundred three trillion, one hundred thirty-two billion, three hundred twenty million", and thus it is an aban number.