1200313231441 has 16 divisors (see below), whose sum is σ = 1315225855440. Its totient is φ = 1090352005120.

The previous prime is 1200313231417. The next prime is 1200313231459. The reversal of 1200313231441 is 1441323130021.

It can be written as a sum of positive squares in 8 ways, for example, as 39962009025 + 1160351222416 = 199905^2 + 1077196^2 .

It is a cyclic number.

It is not a de Polignac number, because 1200313231441 - 2⁹ = 1200313230929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1200313231241) 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, 907185 + ... + 1795441.

It is an arithmetic number, because the mean of its divisors is an integer number (82201615965).

Almost surely, 2^{1200313231441} is an apocalyptic number.

It is an amenable number.

1200313231441 is a deficient number, since it is larger than the sum of its proper divisors (114912623999).

1200313231441 is a wasteful number, since it uses less digits than its factorization.

1200313231441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891044.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1200313231441 its reverse (1441323130021), we get a palindrome (2641636361462).

The spelling of 1200313231441 in words is "one trillion, two hundred billion, three hundred thirteen million, two hundred thirty-one thousand, four hundred forty-one".