131201404112040 has 256 divisors, whose sum is σ = 411978242776320. Its totient is φ = 33394203279360.

The previous prime is 131201404112027. The next prime is 131201404112047. The reversal of 131201404112040 is 40211404102131.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131201404112040.

It is not an unprimeable number, because it can be changed into a prime (131201404112047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70777654 + ... + 72607706.

It is an arithmetic number, because the mean of its divisors is an integer number (1609290010845).

Almost surely, 2^{131201404112040} is an apocalyptic number.

131201404112040 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 131201404112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205989121388160).

131201404112040 is an abundant number, since it is smaller than the sum of its proper divisors (280776838664280).

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

131201404112040 is a wasteful number, since it uses less digits than its factorization.

131201404112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830412 (or 1830408 counting only the distinct ones).

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

Adding to 131201404112040 its reverse (40211404102131), we get a palindrome (171412808214171).

Subtracting from 131201404112040 its reverse (40211404102131), we obtain a palindrome (90990000009909).

The spelling of 131201404112040 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, one hundred twelve thousand, forty".