100301133100000 has 864 divisors, whose sum is σ = 297208720736928. Its totient is φ = 33197875200000.

The previous prime is 100301133099989. The next prime is 100301133100019. The reversal of 100301133100000 is 1331103001.

It is a happy number.

It is a super-3 number, since 3×100301133100000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19487297427 + ... + 19487302573.

It is an arithmetic number, because the mean of its divisors is an integer number (343991574927).

Almost surely, 2^{100301133100000} is an apocalyptic number.

100301133100000 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 100301133100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148604360368464).

100301133100000 is an abundant number, since it is smaller than the sum of its proper divisors (196907587636928).

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

100301133100000 is an frugal number, since it uses more digits than its factorization.

100301133100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100301133100000 its reverse (1331103001), we get a palindrome (100302464203001).

The spelling of 100301133100000 in words is "one hundred trillion, three hundred one billion, one hundred thirty-three million, one hundred thousand".