131021204202240 has 432 divisors, whose sum is σ = 460828338883584. Its totient is φ = 31701925601280.

The previous prime is 131021204202233. The next prime is 131021204202289. The reversal of 131021204202240 is 42202402120131.

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 131021204202240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242737137 + ... + 243276303.

Almost surely, 2^{131021204202240} is an apocalyptic number.

131021204202240 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 131021204202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230414169441792).

131021204202240 is an abundant number, since it is smaller than the sum of its proper divisors (329807134681344).

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

131021204202240 is a wasteful number, since it uses less digits than its factorization.

131021204202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539736 (or 539711 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131021204202240 its reverse (42202402120131), we get a palindrome (173223606322371).

The spelling of 131021204202240 in words is "one hundred thirty-one trillion, twenty-one billion, two hundred four million, two hundred two thousand, two hundred forty".