1131331023313 has 24 divisors (see below), whose sum is σ = 1201505792760. Its totient is φ = 1064576432640.

The previous prime is 1131331023307. The next prime is 1131331023337. The reversal of 1131331023313 is 3133201331311.

It can be written as a sum of positive squares in 12 ways, for example, as 69406956304 + 1061924067009 = 263452^2 + 1030497^2 .

It is not a de Polignac number, because 1131331023313 - 2¹³ = 1131331015121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1131331023343) 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 23 ways as a sum of consecutive naturals, for example, 34361103 + ... + 34394011.

It is an arithmetic number, because the mean of its divisors is an integer number (50062741365).

Almost surely, 2^{1131331023313} is an apocalyptic number.

It is an amenable number.

1131331023313 is a deficient number, since it is larger than the sum of its proper divisors (70174769447).

1131331023313 is an equidigital number, since it uses as much as digits as its factorization.

1131331023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34005 (or 33976 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 1131331023313 its reverse (3133201331311), we get a palindrome (4264532354624).

The spelling of 1131331023313 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-one million, twenty-three thousand, three hundred thirteen".