13111011221310 has 96 divisors (see below), whose sum is σ = 35011122138720. Its totient is φ = 3401661360384.

The previous prime is 13111011221309. The next prime is 13111011221311. The reversal of 13111011221310 is 1312211011131.

13111011221310 is a `hidden beast` number, since 1 + 31 + 1 + 101 + 1 + 221 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (13111011221309) and next prime (13111011221311).

It is a super-2 number, since 2×13111011221310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111011221311) 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, 149603064 + ... + 149690676.

It is an arithmetic number, because the mean of its divisors is an integer number (364699188945).

Almost surely, 2^{13111011221310} is an apocalyptic number.

13111011221310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13111011221310 is an abundant number, since it is smaller than the sum of its proper divisors (21900110917410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13111011221310 is a wasteful number, since it uses less digits than its factorization.

13111011221310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132602 (or 132599 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13111011221310 its reverse (1312211011131), we get a palindrome (14423222232441).

The spelling of 13111011221310 in words is "thirteen trillion, one hundred eleven billion, eleven million, two hundred twenty-one thousand, three hundred ten".