13121211323313 has 48 divisors (see below), whose sum is σ = 19103003023104. Its totient is φ = 8678514493440.

The previous prime is 13121211323309. The next prime is 13121211323321. The reversal of 13121211323313 is 31332311212131.

13121211323313 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 21 + 1 + 323 + 313 = 666.

It is not a de Polignac number, because 13121211323313 - 2² = 13121211323309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13121211323303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687648933 + ... + 687668013.

It is an arithmetic number, because the mean of its divisors is an integer number (397979229648).

Almost surely, 2^{13121211323313} is an apocalyptic number.

It is an amenable number.

13121211323313 is a deficient number, since it is larger than the sum of its proper divisors (5981791699791).

13121211323313 is a wasteful number, since it uses less digits than its factorization.

13121211323313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20526 (or 20523 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13121211323313 its reverse (31332311212131), we get a palindrome (44453522535444).

The spelling of 13121211323313 in words is "thirteen trillion, one hundred twenty-one billion, two hundred eleven million, three hundred twenty-three thousand, three hundred thirteen".