1310113211121 has 32 divisors (see below), whose sum is σ = 2280228128640. Its totient is φ = 732930465600.

The previous prime is 1310113211111. The next prime is 1310113211191. The reversal of 1310113211121 is 1211123110131.

1310113211121 is a `hidden beast` number, since 1 + 310 + 1 + 1 + 321 + 11 + 21 = 666.

It is not a de Polignac number, because 1310113211121 - 2⁵ = 1310113211089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1310113211094 and 1310113211103.

It is not an unprimeable number, because it can be changed into a prime (1310113211111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 169655970 + ... + 169663691.

It is an arithmetic number, because the mean of its divisors is an integer number (71257129020).

Almost surely, 2^{1310113211121} is an apocalyptic number.

1310113211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310113211121 is a deficient number, since it is larger than the sum of its proper divisors (970114917519).

1310113211121 is a wasteful number, since it uses less digits than its factorization.

1310113211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339319694 (or 339319688 counting only the distinct ones).

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

Adding to 1310113211121 its reverse (1211123110131), we get a palindrome (2521236321252).

The spelling of 1310113211121 in words is "one trillion, three hundred ten billion, one hundred thirteen million, two hundred eleven thousand, one hundred twenty-one".