103232133132000 has 192 divisors, whose sum is σ = 338281750130688. Its totient is φ = 27520975680000.

The previous prime is 103232133131983. The next prime is 103232133132001. The reversal of 103232133132000 is 231331232301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103232133132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42387385 + ... + 44756615.

It is an arithmetic number, because the mean of its divisors is an integer number (1761884115264).

Almost surely, 2^{103232133132000} is an apocalyptic number.

103232133132000 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 103232133132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169140875065344).

103232133132000 is an abundant number, since it is smaller than the sum of its proper divisors (235049616998688).

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

103232133132000 is a wasteful number, since it uses less digits than its factorization.

103232133132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372890 (or 2372872 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103232133132000 its reverse (231331232301), we get a palindrome (103463464364301).

The spelling of 103232133132000 in words is "one hundred three trillion, two hundred thirty-two billion, one hundred thirty-three million, one hundred thirty-two thousand".