131331240040 has 256 divisors, whose sum is σ = 401780736000. Its totient is φ = 37306414080.

The previous prime is 131331240031. The next prime is 131331240043. The reversal of 131331240040 is 40042133131.

It is a super-4 number, since 4×131331240040⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131331239993 and 131331240020.

It is not an unprimeable number, because it can be changed into a prime (131331240043) 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, 3142401 + ... + 3183919.

It is an arithmetic number, because the mean of its divisors is an integer number (1569456000).

Almost surely, 2^131331240040 is an apocalyptic number.

131331240040 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 131331240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200890368000).

131331240040 is an abundant number, since it is smaller than the sum of its proper divisors (270449495960).

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

131331240040 is a wasteful number, since it uses less digits than its factorization.

131331240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41640 (or 41636 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 131331240040 its reverse (40042133131), we get a palindrome (171373373171).

The spelling of 131331240040 in words is "one hundred thirty-one billion, three hundred thirty-one million, two hundred forty thousand, forty".