201101313112000 has 448 divisors, whose sum is σ = 580409364667392. Its totient is φ = 67597770240000.

The previous prime is 201101313111971. The next prime is 201101313112019. The reversal of 201101313112000 is 211313101102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 791544990 + ... + 791799010.

Almost surely, 2^{201101313112000} is an apocalyptic number.

201101313112000 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 201101313112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290204682333696).

201101313112000 is an abundant number, since it is smaller than the sum of its proper divisors (379308051555392).

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

201101313112000 is a wasteful number, since it uses less digits than its factorization.

201101313112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254333 (or 254313 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 201101313112000 its reverse (211313101102), we get a palindrome (201312626213102).

The spelling of 201101313112000 in words is "two hundred one trillion, one hundred one billion, three hundred thirteen million, one hundred twelve thousand".