13116138391104 has 560 divisors, whose sum is σ = 44085673982400. Its totient is φ = 3427744739328.

The previous prime is 13116138391091. The next prime is 13116138391117. The reversal of 13116138391104 is 40119383161131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13116138391091) and next prime (13116138391117).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 253980774 + ... + 254032410.

Almost surely, 2^{13116138391104} is an apocalyptic number.

13116138391104 is a gapful number since it is divisible by the number (14) 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 13116138391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22042836991200).

13116138391104 is an abundant number, since it is smaller than the sum of its proper divisors (30969535591296).

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

13116138391104 is an equidigital number, since it uses as much as digits as its factorization.

13116138391104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51728 (or 51697 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 13116138391104 in words is "thirteen trillion, one hundred sixteen billion, one hundred thirty-eight million, three hundred ninety-one thousand, one hundred four".