131020414114200 has 192 divisors, whose sum is σ = 437451111336960. Its totient is φ = 32247897899520.

The previous prime is 131020414114171. The next prime is 131020414114201. The reversal of 131020414114200 is 2411414020131.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020414114201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76269127 + ... + 77968073.

It is an arithmetic number, because the mean of its divisors is an integer number (2278391204880).

Almost surely, 2^{131020414114200} is an apocalyptic number.

131020414114200 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 131020414114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218725555668480).

131020414114200 is an abundant number, since it is smaller than the sum of its proper divisors (306430697222760).

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

131020414114200 is a wasteful number, since it uses less digits than its factorization.

131020414114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708866 (or 1708857 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 131020414114200 its reverse (2411414020131), we get a palindrome (133431828134331).

The spelling of 131020414114200 in words is "one hundred thirty-one trillion, twenty billion, four hundred fourteen million, one hundred fourteen thousand, two hundred".