13110010461460 has 96 divisors (see below), whose sum is σ = 30735869738112. Its totient is φ = 4655869317120.

The previous prime is 13110010461451. The next prime is 13110010461469. The reversal of 13110010461460 is 6416401001131.

It is an interprime number because it is at equal distance from previous prime (13110010461451) and next prime (13110010461469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110010461469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86360184 + ... + 86511856.

It is an arithmetic number, because the mean of its divisors is an integer number (320165309772).

Almost surely, 2^{13110010461460} is an apocalyptic number.

13110010461460 is a gapful number since it is divisible by the number (10) 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 13110010461460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367934869056).

13110010461460 is an abundant number, since it is smaller than the sum of its proper divisors (17625859276652).

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

13110010461460 is a wasteful number, since it uses less digits than its factorization.

13110010461460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160873 (or 160871 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 13110010461460 its reverse (6416401001131), we get a palindrome (19526411462591).

The spelling of 13110010461460 in words is "thirteen trillion, one hundred ten billion, ten million, four hundred sixty-one thousand, four hundred sixty".