131000203200200 has 96 divisors (see below), whose sum is σ = 306405601286400. Its totient is φ = 52085933679360.

The previous prime is 131000203200127. The next prime is 131000203200241. The reversal of 131000203200200 is 2002302000131.

It is a happy number.

It is a super-2 number, since 2×131000203200200² (a number of 29 digits) contains 22 as substring.

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, 27162854 + ... + 31619946.

It is an arithmetic number, because the mean of its divisors is an integer number (3191725013400).

Almost surely, 2^{131000203200200} is an apocalyptic number.

131000203200200 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 131000203200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153202800643200).

131000203200200 is an abundant number, since it is smaller than the sum of its proper divisors (175405398086200).

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

131000203200200 is a wasteful number, since it uses less digits than its factorization.

131000203200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457991 (or 4457982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 131000203200200 its reverse (2002302000131), we get a palindrome (133002505200331).

The spelling of 131000203200200 in words is "one hundred thirty-one trillion, two hundred three million, two hundred thousand, two hundred".