11331131322313 has 8 divisors (see below), whose sum is σ = 12361733568000. Its totient is φ = 10300612309680.

The previous prime is 11331131322299. The next prime is 11331131322349. The reversal of 11331131322313 is 31322313113311.

It is a happy number.

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

It is not a de Polignac number, because 11331131322313 - 2⁴¹ = 9132108066761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331131325313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20523438 + ... + 21068311.

It is an arithmetic number, because the mean of its divisors is an integer number (1545216696000).

Almost surely, 2^{11331131322313} is an apocalyptic number.

It is an amenable number.

11331131322313 is a deficient number, since it is larger than the sum of its proper divisors (1030602245687).

11331131322313 is a wasteful number, since it uses less digits than its factorization.

11331131322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41616527.

The product of its digits is 2916, while the sum is 28.

Adding to 11331131322313 its reverse (31322313113311), we get a palindrome (42653444435624).

The spelling of 11331131322313 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred thirteen".