13105330324251 has 64 divisors (see below), whose sum is σ = 19347246213120. Its totient is φ = 7824370544640.

The previous prime is 13105330324231. The next prime is 13105330324327. The reversal of 13105330324251 is 15242303350131.

It is not a de Polignac number, because 13105330324251 - 2⁶ = 13105330324187 is a prime.

It is a super-2 number, since 2×13105330324251² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13105330324231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4073772195 + ... + 4073775411.

It is an arithmetic number, because the mean of its divisors is an integer number (302300722080).

Almost surely, 2^{13105330324251} is an apocalyptic number.

13105330324251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13105330324251 is a deficient number, since it is larger than the sum of its proper divisors (6241915888869).

13105330324251 is a wasteful number, since it uses less digits than its factorization.

13105330324251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356.

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 13105330324251 its reverse (15242303350131), we get a palindrome (28347633674382).

The spelling of 13105330324251 in words is "thirteen trillion, one hundred five billion, three hundred thirty million, three hundred twenty-four thousand, two hundred fifty-one".