13121333132311 has 16 divisors (see below), whose sum is σ = 13220997552000. Its totient is φ = 13022061837568.

The previous prime is 13121333132291. The next prime is 13121333132339. The reversal of 13121333132311 is 11323133312131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13121333132311 - 2⁵ = 13121333132279 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13121333132311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121333132381) 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, 352203561 + ... + 352240813.

It is an arithmetic number, because the mean of its divisors is an integer number (826312347000).

Almost surely, 2^{13121333132311} is an apocalyptic number.

13121333132311 is a deficient number, since it is larger than the sum of its proper divisors (99664419689).

13121333132311 is a wasteful number, since it uses less digits than its factorization.

13121333132311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42458.

The product of its digits is 2916, while the sum is 28.

Adding to 13121333132311 its reverse (11323133312131), we get a palindrome (24444466444442).

It can be divided in two parts, 1312133 and 3132311, that added together give a palindrome (4444444).

The spelling of 13121333132311 in words is "thirteen trillion, one hundred twenty-one billion, three hundred thirty-three million, one hundred thirty-two thousand, three hundred eleven".