131004100220240 has 80 divisors (see below), whose sum is σ = 328090601638800. Its totient is φ = 48359465189376.

The previous prime is 131004100220219. The next prime is 131004100220243. The reversal of 131004100220240 is 42022001400131.

It can be written as a sum of positive squares in 8 ways, for example, as 4095944536336 + 126908155683904 = 2023844^2 + 11265352^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131004100220243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10224155 + ... + 19145274.

It is an arithmetic number, because the mean of its divisors is an integer number (4101132520485).

Almost surely, 2^{131004100220240} is an apocalyptic number.

131004100220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131004100220240 is an abundant number, since it is smaller than the sum of its proper divisors (197086501418560).

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

131004100220240 is a wasteful number, since it uses less digits than its factorization.

131004100220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29373744 (or 29373738 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 131004100220240 its reverse (42022001400131), we get a palindrome (173026101620371).

The spelling of 131004100220240 in words is "one hundred thirty-one trillion, four billion, one hundred million, two hundred twenty thousand, two hundred forty".