103133232000 has 384 divisors, whose sum is σ = 375489148320. Its totient is φ = 27122688000.

The previous prime is 103133231987. The next prime is 103133232049. The reversal of 103133232000 is 232331301.

103133232000 is a `hidden beast` number, since 1 + 0 + 313 + 32 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10507095 + ... + 10516905.

Almost surely, 2^103133232000 is an apocalyptic number.

103133232000 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 103133232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187744574160).

103133232000 is an abundant number, since it is smaller than the sum of its proper divisors (272355916320).

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

103133232000 is an equidigital number, since it uses as much as digits as its factorization.

103133232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919 (or 9894 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103133232000 its reverse (232331301), we get a palindrome (103365563301).

The spelling of 103133232000 in words is "one hundred three billion, one hundred thirty-three million, two hundred thirty-two thousand".