1331031131313 has 16 divisors (see below), whose sum is σ = 1911442384320. Its totient is φ = 819002568384.

The previous prime is 1331031131299. The next prime is 1331031131377. The reversal of 1331031131313 is 3131311301331.

It is not a de Polignac number, because 1331031131313 - 2³³ = 1322441196721 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1331031131383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1601406 + ... + 2286167.

It is an arithmetic number, because the mean of its divisors is an integer number (119465149020).

Almost surely, 2^{1331031131313} is an apocalyptic number.

1331031131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331031131313 is a deficient number, since it is larger than the sum of its proper divisors (580411253007).

1331031131313 is a wasteful number, since it uses less digits than its factorization.

1331031131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896368.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 1331031131313 its reverse (3131311301331), we get a palindrome (4462342432644).

The spelling of 1331031131313 in words is "one trillion, three hundred thirty-one billion, thirty-one million, one hundred thirty-one thousand, three hundred thirteen".