201324310442000 has 40 divisors (see below), whose sum is σ = 486802182653592. Its totient is φ = 80529724176000.

The previous prime is 201324310441999. The next prime is 201324310442033. The reversal of 201324310442000 is 244013423102.

It can be written as a sum of positive squares in 4 ways, for example, as 53101185147136 + 148223125294864 = 7287056^2 + 12174692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50331075611 + ... + 50331079610.

Almost surely, 2^{201324310442000} is an apocalyptic number.

201324310442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201324310442000 is an abundant number, since it is smaller than the sum of its proper divisors (285477872211592).

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

201324310442000 is a wasteful number, since it uses less digits than its factorization.

201324310442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100662155244 (or 100662155228 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 201324310442000 its reverse (244013423102), we get a palindrome (201568323865102).

The spelling of 201324310442000 in words is "two hundred one trillion, three hundred twenty-four billion, three hundred ten million, four hundred forty-two thousand".