1311031011121 has 8 divisors (see below), whose sum is σ = 1417939122600. Its totient is φ = 1204988552832.

The previous prime is 1311031011113. The next prime is 1311031011167. The reversal of 1311031011121 is 1211101301131.

It can be written as a sum of positive squares in 4 ways, for example, as 30376655521 + 1280654355600 = 174289^2 + 1131660^2 .

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 1311031011121 - 2³ = 1311031011113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311031011095 and 1311031011104.

It is not an unprimeable number, because it can be changed into a prime (1311031011181) 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, 216410146 + ... + 216416203.

It is an arithmetic number, because the mean of its divisors is an integer number (177242390325).

Almost surely, 2^{1311031011121} is an apocalyptic number.

It is an amenable number.

1311031011121 is a deficient number, since it is larger than the sum of its proper divisors (106908111479).

1311031011121 is a wasteful number, since it uses less digits than its factorization.

1311031011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432826595.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1311031011121 its reverse (1211101301131), we get a palindrome (2522132312252).

The spelling of 1311031011121 in words is "one trillion, three hundred eleven billion, thirty-one million, eleven thousand, one hundred twenty-one".