13110401412251 has 64 divisors (see below), whose sum is σ = 16086024662400. Its totient is φ = 10520791142400.

The previous prime is 13110401412217. The next prime is 13110401412323. The reversal of 13110401412251 is 15221410401131.

13110401412251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13110401412251 - 2¹⁰ = 13110401411227 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13110401412251.

It is not an unprimeable number, because it can be changed into a prime (13110401412851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1752489431 + ... + 1752496911.

It is an arithmetic number, because the mean of its divisors is an integer number (251344135350).

Almost surely, 2^{13110401412251} is an apocalyptic number.

13110401412251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13110401412251 is a deficient number, since it is larger than the sum of its proper divisors (2975623250149).

13110401412251 is a wasteful number, since it uses less digits than its factorization.

13110401412251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11520.

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 13110401412251 its reverse (15221410401131), we get a palindrome (28331811813382).

The spelling of 13110401412251 in words is "thirteen trillion, one hundred ten billion, four hundred one million, four hundred twelve thousand, two hundred fifty-one".