3001131314240 has 28 divisors (see below), whose sum is σ = 7146443942796. Its totient is φ = 1200452525568.

The previous prime is 3001131314201. The next prime is 3001131314257. The reversal of 3001131314240 is 424131311003.

It can be written as a sum of positive squares in 2 ways, for example, as 1835439686656 + 1165691627584 = 1354784^2 + 1079672^2 .

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 3 ways as a sum of consecutive naturals, for example, 4689267359 + ... + 4689267998.

Almost surely, 2^{3001131314240} is an apocalyptic number.

It is an amenable number.

3001131314240 is an abundant number, since it is smaller than the sum of its proper divisors (4145312628556).

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

3001131314240 is an equidigital number, since it uses as much as digits as its factorization.

3001131314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378535374 (or 9378535364 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 3001131314240 its reverse (424131311003), we get a palindrome (3425262625243).

The spelling of 3001131314240 in words is "three trillion, one billion, one hundred thirty-one million, three hundred fourteen thousand, two hundred forty".