131013041204240 has 240 divisors, whose sum is σ = 342669112929360. Its totient is φ = 46295024394240.

The previous prime is 131013041204159. The next prime is 131013041204291. The reversal of 131013041204240 is 42402140310131.

It can be written as a sum of positive squares in 24 ways, for example, as 95019136946176 + 35993904258064 = 9747776^2 + 5999492^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86095106 + ... + 87603614.

It is an arithmetic number, because the mean of its divisors is an integer number (1427787970539).

Almost surely, 2^{131013041204240} is an apocalyptic number.

131013041204240 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 131013041204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171334556464680).

131013041204240 is an abundant number, since it is smaller than the sum of its proper divisors (211656071725120).

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

131013041204240 is a wasteful number, since it uses less digits than its factorization.

131013041204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508670 (or 1508627 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131013041204240 its reverse (42402140310131), we get a palindrome (173415181514371).

The spelling of 131013041204240 in words is "one hundred thirty-one trillion, thirteen billion, forty-one million, two hundred four thousand, two hundred forty".