13301114301312 has 128 divisors (see below), whose sum is σ = 35455532112000. Its totient is φ = 4418095564800.

The previous prime is 13301114301229. The next prime is 13301114301313. The reversal of 13301114301312 is 21310341110331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13301114301312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301114301313) 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 15 ways as a sum of consecutive naturals, for example, 524706814 + ... + 524732162.

It is an arithmetic number, because the mean of its divisors is an integer number (276996344625).

Almost surely, 2^{13301114301312} is an apocalyptic number.

13301114301312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13301114301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17727766056000).

13301114301312 is an abundant number, since it is smaller than the sum of its proper divisors (22154417810688).

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

13301114301312 is a wasteful number, since it uses less digits than its factorization.

13301114301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30124 (or 30112 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13301114301312 its reverse (21310341110331), we get a palindrome (34611455411643).

The spelling of 13301114301312 in words is "thirteen trillion, three hundred one billion, one hundred fourteen million, three hundred one thousand, three hundred twelve".