131101132102200 has 864 divisors, whose sum is σ = 490681950595200. Its totient is φ = 31332018032640.

The previous prime is 131101132102103. The next prime is 131101132102217. The reversal of 131101132102200 is 2201231101131.

131101132102200 is a `hidden beast` number, since 1 + 3 + 110 + 11 + 321 + 0 + 220 + 0 = 666.

131101132102200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 215 ways as a sum of consecutive naturals, for example, 5391324442 + ... + 5391348758.

It is an arithmetic number, because the mean of its divisors is an integer number (567918924300).

Almost surely, 2^{131101132102200} is an apocalyptic number.

131101132102200 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 131101132102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245340975297600).

131101132102200 is an abundant number, since it is smaller than the sum of its proper divisors (359580818493000).

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

131101132102200 is a wasteful number, since it uses less digits than its factorization.

131101132102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24881 (or 24856 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131101132102200 its reverse (2201231101131), we get a palindrome (133302363203331).

The spelling of 131101132102200 in words is "one hundred thirty-one trillion, one hundred one billion, one hundred thirty-two million, one hundred two thousand, two hundred".