11331131310321 has 8 divisors (see below), whose sum is σ = 15108190761600. Its totient is φ = 7554079699632.

The previous prime is 11331131310281. The next prime is 11331131310361. The reversal of 11331131310321 is 12301313113311.

It is an interprime number because it is at equal distance from previous prime (11331131310281) and next prime (11331131310361).

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

It is not a de Polignac number, because 11331131310321 - 2¹⁵ = 11331131277553 is a prime.

It is a super-2 number, since 2×11331131310321² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11331131310291 and 11331131310300.

It is not an unprimeable number, because it can be changed into a prime (11331131310361) 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 7 ways as a sum of consecutive naturals, for example, 4007155 + ... + 6222503.

It is an arithmetic number, because the mean of its divisors is an integer number (1888523845200).

Almost surely, 2^{11331131310321} is an apocalyptic number.

It is an amenable number.

11331131310321 is a deficient number, since it is larger than the sum of its proper divisors (3777059451279).

11331131310321 is a wasteful number, since it uses less digits than its factorization.

11331131310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920295.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 11331131310321 its reverse (12301313113311), we get a palindrome (23632444423632).

The spelling of 11331131310321 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred ten thousand, three hundred twenty-one".