131231217040 has 320 divisors, whose sum is σ = 401271459840. Its totient is φ = 38668216320.

The previous prime is 131231217037. The next prime is 131231217041. The reversal of 131231217040 is 40712132131.

It is a junction number, because it is equal to n+sod(n) for n = 131231216996 and 131231217014.

It is not an unprimeable number, because it can be changed into a prime (131231217041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75724014 + ... + 75725746.

It is an arithmetic number, because the mean of its divisors is an integer number (1253973312).

Almost surely, 2^131231217040 is an apocalyptic number.

131231217040 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 131231217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200635729920).

131231217040 is an abundant number, since it is smaller than the sum of its proper divisors (270040242800).

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

131231217040 is a wasteful number, since it uses less digits than its factorization.

131231217040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 131231217040 its reverse (40712132131), we get a palindrome (171943349171).

The spelling of 131231217040 in words is "one hundred thirty-one billion, two hundred thirty-one million, two hundred seventeen thousand, forty".