131311044405200 has 120 divisors (see below), whose sum is σ = 344274803008320. Its totient is φ = 47732752972800.

The previous prime is 131311044405179. The next prime is 131311044405209. The reversal of 131311044405200 is 2504440113131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311044405209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7347941 + ... + 17793659.

It is an arithmetic number, because the mean of its divisors is an integer number (2868956691736).

Almost surely, 2^{131311044405200} is an apocalyptic number.

131311044405200 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 131311044405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172137401504160).

131311044405200 is an abundant number, since it is smaller than the sum of its proper divisors (212963758603120).

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

131311044405200 is a wasteful number, since it uses less digits than its factorization.

131311044405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10448605 (or 10448594 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 131311044405200 its reverse (2504440113131), we get a palindrome (133815484518331).

The spelling of 131311044405200 in words is "one hundred thirty-one trillion, three hundred eleven billion, forty-four million, four hundred five thousand, two hundred".