100331113212000 has 768 divisors, whose sum is σ = 398590016348160. Its totient is φ = 24311443968000.

The previous prime is 100331113211993. The next prime is 100331113212019. The reversal of 100331113212000 is 212311133001.

100331113212000 is a `hidden beast` number, since 1 + 0 + 0 + 33 + 111 + 321 + 200 + 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2728817617 + ... + 2728854383.

It is an arithmetic number, because the mean of its divisors is an integer number (518997417120).

Almost surely, 2^{100331113212000} is an apocalyptic number.

100331113212000 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 100331113212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199295008174080).

100331113212000 is an abundant number, since it is smaller than the sum of its proper divisors (298258903136160).

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

100331113212000 is a wasteful number, since it uses less digits than its factorization.

100331113212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39109 (or 39085 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100331113212000 its reverse (212311133001), we get a palindrome (100543424345001).

The spelling of 100331113212000 in words is "one hundred trillion, three hundred thirty-one billion, one hundred thirteen million, two hundred twelve thousand".