11331131321333 has 16 divisors (see below), whose sum is σ = 12140771540400. Its totient is φ = 10538133159936.

The previous prime is 11331131321303. The next prime is 11331131321359. The reversal of 11331131321333 is 33312313113311.

It can be written as a sum of positive squares in 8 ways, for example, as 1915696823569 + 9415434497764 = 1384087^2 + 3068458^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331131321333 - 2¹² = 11331131317237 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11331131321296 and 11331131321305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131321303) 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, 11100260 + ... + 12077997.

It is an arithmetic number, because the mean of its divisors is an integer number (758798221275).

Almost surely, 2^{11331131321333} is an apocalyptic number.

It is an amenable number.

11331131321333 is a deficient number, since it is larger than the sum of its proper divisors (809640219067).

11331131321333 is a wasteful number, since it uses less digits than its factorization.

11331131321333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23178616.

The product of its digits is 4374, while the sum is 29.

Adding to 11331131321333 its reverse (33312313113311), we get a palindrome (44643444434644).

The spelling of 11331131321333 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred thirty-three".