13102221310311 has 24 divisors (see below), whose sum is σ = 20327208197760. Its totient is φ = 7484995770672.

The previous prime is 13102221310309. The next prime is 13102221310313. The reversal of 13102221310311 is 11301312220131.

It is an interprime number because it is at equal distance from previous prime (13102221310309) and next prime (13102221310313).

It is not a de Polignac number, because 13102221310311 - 2¹ = 13102221310309 is a prime.

It is a super-3 number, since 3×13102221310311³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102221310313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11276721 + ... + 12384218.

It is an arithmetic number, because the mean of its divisors is an integer number (846967008240).

Almost surely, 2^{13102221310311} is an apocalyptic number.

13102221310311 is a deficient number, since it is larger than the sum of its proper divisors (7224986887449).

13102221310311 is a wasteful number, since it uses less digits than its factorization.

13102221310311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23664723 (or 23664716 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13102221310311 its reverse (11301312220131), we get a palindrome (24403533530442).

The spelling of 13102221310311 in words is "thirteen trillion, one hundred two billion, two hundred twenty-one million, three hundred ten thousand, three hundred eleven".