1311132121 has 8 divisors (see below), whose sum is σ = 1419158664. Its totient is φ = 1204129920.

The previous prime is 1311132113. The next prime is 1311132131. The reversal of 1311132121 is 1212311131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 104264521 + 1206867600 = 10211^2 + 34740^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1311132121 - 2³ = 1311132113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311132095 and 1311132104.

It is not an unprimeable number, because it can be changed into a prime (1311132101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253420 + ... + 258541.

It is an arithmetic number, because the mean of its divisors is an integer number (177394833).

Almost surely, 2^1311132121 is an apocalyptic number.

It is an amenable number.

1311132121 is a deficient number, since it is larger than the sum of its proper divisors (108026543).

1311132121 is a wasteful number, since it uses less digits than its factorization.

1311132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512171.

The product of its digits is 36, while the sum is 16.

The square root of 1311132121 is about 36209.5584203950. The cubic root of 1311132121 is about 1094.4992938858.

Adding to 1311132121 its reverse (1212311131), we get a palindrome (2523443252).

The spelling of 1311132121 in words is "one billion, three hundred eleven million, one hundred thirty-two thousand, one hundred twenty-one".