103232100312000 has 1344 divisors, whose sum is σ = 418650066432000. Its totient is φ = 24055280640000.

The previous prime is 103232100311959. The next prime is 103232100312091. The reversal of 103232100312000 is 213001232301.

103232100312000 is a `hidden beast` number, since 1 + 0 + 32 + 321 + 0 + 0 + 312 + 0 + 0 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3658233891 + ... + 3658262109.

Almost surely, 2^{103232100312000} is an apocalyptic number.

103232100312000 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 103232100312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209325033216000).

103232100312000 is an abundant number, since it is smaller than the sum of its proper divisors (315417966120000).

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

103232100312000 is a wasteful number, since it uses less digits than its factorization.

103232100312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28443 (or 28420 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103232100312000 its reverse (213001232301), we get a palindrome (103445101544301).

The spelling of 103232100312000 in words is "one hundred three trillion, two hundred thirty-two billion, one hundred million, three hundred twelve thousand".