1100201311265 has 48 divisors (see below), whose sum is σ = 1539020265552. Its totient is φ = 752839428096.

The previous prime is 1100201311259. The next prime is 1100201311267. The reversal of 1100201311265 is 5621131020011.

It can be written as a sum of positive squares in 8 ways, for example, as 404452321 + 1099796858944 = 20111^2 + 1048712^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1100201311265 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1100201311265.

It is not an unprimeable number, because it can be changed into a prime (1100201311267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420404237 + ... + 420406853.

It is an arithmetic number, because the mean of its divisors is an integer number (32062922199).

Almost surely, 2^{1100201311265} is an apocalyptic number.

It is an amenable number.

1100201311265 is a deficient number, since it is larger than the sum of its proper divisors (438818954287).

1100201311265 is a wasteful number, since it uses less digits than its factorization.

1100201311265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 1100201311265 its reverse (5621131020011), we get a palindrome (6721332331276).

The spelling of 1100201311265 in words is "one trillion, one hundred billion, two hundred one million, three hundred eleven thousand, two hundred sixty-five".