1211121101313 has 48 divisors (see below), whose sum is σ = 1869822090240. Its totient is φ = 753728976000.

The previous prime is 1211121101297. The next prime is 1211121101327. The reversal of 1211121101313 is 3131011211121.

It is not a de Polignac number, because 1211121101313 - 2⁴ = 1211121101297 is a prime.

It is a super-2 number, since 2×1211121101313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1211121101213) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8774988 + ... + 8911938.

It is an arithmetic number, because the mean of its divisors is an integer number (38954626880).

Almost surely, 2^{1211121101313} is an apocalyptic number.

It is an amenable number.

1211121101313 is a deficient number, since it is larger than the sum of its proper divisors (658700988927).

1211121101313 is a wasteful number, since it uses less digits than its factorization.

1211121101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138110 (or 138107 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1211121101313 its reverse (3131011211121), we get a palindrome (4342132312434).

The spelling of 1211121101313 in words is "one trillion, two hundred eleven billion, one hundred twenty-one million, one hundred one thousand, three hundred thirteen".