103232133312 has 448 divisors, whose sum is σ = 346382327808. Its totient is φ = 26357760000.

The previous prime is 103232133311. The next prime is 103232133397. The reversal of 103232133312 is 213331232301.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (103232133311) 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 63 ways as a sum of consecutive naturals, for example, 292442128 + ... + 292442480.

Almost surely, 2^103232133312 is an apocalyptic number.

103232133312 is a gapful number since it is divisible by the number (12) 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 103232133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173191163904).

103232133312 is an abundant number, since it is smaller than the sum of its proper divisors (243150194496).

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

103232133312 is a wasteful number, since it uses less digits than its factorization.

103232133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 658 counting only the distinct ones).

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

Adding to 103232133312 its reverse (213331232301), we get a palindrome (316563365613).

The spelling of 103232133312 in words is "one hundred three billion, two hundred thirty-two million, one hundred thirty-three thousand, three hundred twelve".