20101313113200 has 360 divisors, whose sum is σ = 76126615608576. Its totient is φ = 4871257920000.

The previous prime is 20101313113177. The next prime is 20101313113201. The reversal of 20101313113200 is 231131310102.

20101313113200 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 31 + 311 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101313113201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109481475 + ... + 109664925.

Almost surely, 2^{20101313113200} is an apocalyptic number.

20101313113200 is a gapful number since it is divisible by the number (20) 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 20101313113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38063307804288).

20101313113200 is an abundant number, since it is smaller than the sum of its proper divisors (56025302495376).

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

20101313113200 is a wasteful number, since it uses less digits than its factorization.

20101313113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186253 (or 186239 counting only the distinct ones).

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

Adding to 20101313113200 its reverse (231131310102), we get a palindrome (20332444423302).

The spelling of 20101313113200 in words is "twenty trillion, one hundred one billion, three hundred thirteen million, one hundred thirteen thousand, two hundred".