13121102311213 has 8 divisors (see below), whose sum is σ = 14225252895000. Its totient is φ = 12030499587648.

The previous prime is 13121102311183. The next prime is 13121102311217. The reversal of 13121102311213 is 31211320112131.

It can be written as a sum of positive squares in 4 ways, for example, as 928847529 + 13120173463684 = 30477^2 + 3622178^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13121102311213 - 2¹⁷ = 13121102180141 is a prime.

It is a super-2 number, since 2×13121102311213² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121102311217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3386963038 + ... + 3386966911.

It is an arithmetic number, because the mean of its divisors is an integer number (1778156611875).

Almost surely, 2^{13121102311213} is an apocalyptic number.

13121102311213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13121102311213 is a deficient number, since it is larger than the sum of its proper divisors (1104150583787).

13121102311213 is a wasteful number, since it uses less digits than its factorization.

13121102311213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773930111.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 13121102311213 its reverse (31211320112131), we get a palindrome (44332422423344).

The spelling of 13121102311213 in words is "thirteen trillion, one hundred twenty-one billion, one hundred two million, three hundred eleven thousand, two hundred thirteen".