13331013103213 has 8 divisors (see below), whose sum is σ = 14356505049656. Its totient is φ = 12305525356800.

The previous prime is 13331013103151. The next prime is 13331013103237. The reversal of 13331013103213 is 31230131013331.

It can be written as a sum of positive squares in 4 ways, for example, as 1787306957604 + 11543706145609 = 1336902^2 + 3397603^2 .

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

It is not a de Polignac number, because 13331013103213 - 2¹⁷ = 13331012972141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331013103013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9377953 + ... + 10705513.

It is an arithmetic number, because the mean of its divisors is an integer number (1794563131207).

Almost surely, 2^{13331013103213} is an apocalyptic number.

13331013103213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13331013103213 is a deficient number, since it is larger than the sum of its proper divisors (1025491946443).

13331013103213 is a wasteful number, since it uses less digits than its factorization.

13331013103213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100015.

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

Adding to 13331013103213 its reverse (31230131013331), we get a palindrome (44561144116544).

The spelling of 13331013103213 in words is "thirteen trillion, three hundred thirty-one billion, thirteen million, one hundred three thousand, two hundred thirteen".