131010440131240 has 128 divisors (see below), whose sum is σ = 306176450411520. Its totient is φ = 50398084915200.

The previous prime is 131010440131229. The next prime is 131010440131261. The reversal of 131010440131240 is 42131044010131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3059469030 + ... + 3059511850.

It is an arithmetic number, because the mean of its divisors is an integer number (2392003518840).

Almost surely, 2^{131010440131240} is an apocalyptic number.

131010440131240 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 131010440131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153088225205760).

131010440131240 is an abundant number, since it is smaller than the sum of its proper divisors (175166010280280).

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

131010440131240 is a wasteful number, since it uses less digits than its factorization.

131010440131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58163 (or 58159 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131010440131240 its reverse (42131044010131), we get a palindrome (173141484141371).

The spelling of 131010440131240 in words is "one hundred thirty-one trillion, ten billion, four hundred forty million, one hundred thirty-one thousand, two hundred forty".