13131322013311 has 12 divisors (see below), whose sum is σ = 13727256312112. Its totient is φ = 12560226297696.

The previous prime is 13131322013291. The next prime is 13131322013417. The reversal of 13131322013311 is 11331022313131.

It is not a de Polignac number, because 13131322013311 - 2¹³ = 13131322005119 is a prime.

It is a super-2 number, since 2×13131322013311² (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 (13131322013911) 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 11 ways as a sum of consecutive naturals, for example, 59294590 + ... + 59515636.

Almost surely, 2^{13131322013311} is an apocalyptic number.

13131322013311 is a deficient number, since it is larger than the sum of its proper divisors (595934298801).

13131322013311 is a wasteful number, since it uses less digits than its factorization.

13131322013311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333390 (or 333367 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13131322013311 its reverse (11331022313131), we get a palindrome (24462344326442).

The spelling of 13131322013311 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twenty-two million, thirteen thousand, three hundred eleven".