1121413311441 has 6 divisors (see below), whose sum is σ = 1619819227650. Its totient is φ = 747608874288.

The previous prime is 1121413311413. The next prime is 1121413311479. The reversal of 1121413311441 is 1441133141211.

1121413311441 is a `hidden beast` number, since 1 + 1 + 214 + 1 + 3 + 3 + 1 + 1 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 899233061841 + 222180249600 = 948279^2 + 471360^2 .

It is not a de Polignac number, because 1121413311441 - 2³⁸ = 846535404497 is a prime.

It is a super-2 number, since 2×1121413311441² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1121413311401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62300739516 + ... + 62300739533.

It is an arithmetic number, because the mean of its divisors is an integer number (269969871275).

Almost surely, 2^{1121413311441} is an apocalyptic number.

It is an amenable number.

1121413311441 is a deficient number, since it is larger than the sum of its proper divisors (498405916209).

1121413311441 is a wasteful number, since it uses less digits than its factorization.

1121413311441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124601479055 (or 124601479052 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 1121413311441 its reverse (1441133141211), we get a palindrome (2562546452652).

The spelling of 1121413311441 in words is "one trillion, one hundred twenty-one billion, four hundred thirteen million, three hundred eleven thousand, four hundred forty-one".