1313132133121 has 16 divisors (see below), whose sum is σ = 1325154619728. Its totient is φ = 1301181235200.

The previous prime is 1313132133119. The next prime is 1313132133133. The reversal of 1313132133121 is 1213312313131.

It can be written as a sum of positive squares in 8 ways, for example, as 122807492721 + 1190324640400 = 350439^2 + 1091020^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313132133121 - 2¹ = 1313132133119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313132133421) 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 15 ways as a sum of consecutive naturals, for example, 38176351 + ... + 38210731.

It is an arithmetic number, because the mean of its divisors is an integer number (82822163733).

Almost surely, 2^{1313132133121} is an apocalyptic number.

It is an amenable number.

1313132133121 is a deficient number, since it is larger than the sum of its proper divisors (12022486607).

1313132133121 is a wasteful number, since it uses less digits than its factorization.

1313132133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35412.

The product of its digits is 972, while the sum is 25.

Adding to 1313132133121 its reverse (1213312313131), we get a palindrome (2526444446252).

The spelling of 1313132133121 in words is "one trillion, three hundred thirteen billion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty-one".