100001311033200 has 120 divisors (see below), whose sum is σ = 334265251928448. Its totient is φ = 25507580778240.

The previous prime is 100001311033171. The next prime is 100001311033241. The reversal of 100001311033200 is 2330113100001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100001311033200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1811590354 + ... + 1811645553.

Almost surely, 2^{100001311033200} is an apocalyptic number.

100001311033200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001311033200 is an abundant number, since it is smaller than the sum of its proper divisors (234263940895248).

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

100001311033200 is a wasteful number, since it uses less digits than its factorization.

100001311033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623235951 (or 3623235940 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100001311033200 its reverse (2330113100001), we get a palindrome (102331424133201).

The spelling of 100001311033200 in words is "one hundred trillion, one billion, three hundred eleven million, thirty-three thousand, two hundred".