13100020402311 has 36 divisors (see below), whose sum is σ = 19605500483400. Its totient is φ = 8428643993280.

The previous prime is 13100020402289. The next prime is 13100020402409. The reversal of 13100020402311 is 11320402000131.

13100020402311 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 2 + 0 + 40 + 2 + 311 = 666.

It is not a de Polignac number, because 13100020402311 - 2¹⁴ = 13100020385927 is a prime.

It is a super-3 number, since 3×13100020402311³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100020402211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17658340 + ... + 18385238.

It is an arithmetic number, because the mean of its divisors is an integer number (544597235650).

Almost surely, 2^{13100020402311} is an apocalyptic number.

13100020402311 is a deficient number, since it is larger than the sum of its proper divisors (6505480081089).

13100020402311 is a wasteful number, since it uses less digits than its factorization.

13100020402311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729344 (or 729312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13100020402311 its reverse (11320402000131), we get a palindrome (24420422402442).

The spelling of 13100020402311 in words is "thirteen trillion, one hundred billion, twenty million, four hundred two thousand, three hundred eleven".