13104334215120 has 160 divisors (see below), whose sum is σ = 41176746483840. Its totient is φ = 3447175034880.

The previous prime is 13104334215101. The next prime is 13104334215139. The reversal of 13104334215120 is 2151243340131.

It is an interprime number because it is at equal distance from previous prime (13104334215101) and next prime (13104334215139).

It is a super-2 number, since 2×13104334215120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4834950 + ... + 7041690.

It is an arithmetic number, because the mean of its divisors is an integer number (257354665524).

Almost surely, 2^{13104334215120} is an apocalyptic number.

13104334215120 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 13104334215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20588373241920).

13104334215120 is an abundant number, since it is smaller than the sum of its proper divisors (28072412268720).

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

13104334215120 is a wasteful number, since it uses less digits than its factorization.

13104334215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207093 (or 2207087 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13104334215120 its reverse (2151243340131), we get a palindrome (15255577555251).

The spelling of 13104334215120 in words is "thirteen trillion, one hundred four billion, three hundred thirty-four million, two hundred fifteen thousand, one hundred twenty".