131422402012200 has 192 divisors, whose sum is σ = 438947490562560. Its totient is φ = 32335467525120.

The previous prime is 131422402012199. The next prime is 131422402012219. The reversal of 131422402012200 is 2210204224131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13397422 + ... + 21031778.

It is an arithmetic number, because the mean of its divisors is an integer number (2286184846680).

Almost surely, 2^{131422402012200} is an apocalyptic number.

131422402012200 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 131422402012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219473745281280).

131422402012200 is an abundant number, since it is smaller than the sum of its proper divisors (307525088550360).

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

131422402012200 is a wasteful number, since it uses less digits than its factorization.

131422402012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7636596 (or 7636587 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131422402012200 its reverse (2210204224131), we get a palindrome (133632606236331).

The spelling of 131422402012200 in words is "one hundred thirty-one trillion, four hundred twenty-two billion, four hundred two million, twelve thousand, two hundred".