13103185113180 has 384 divisors, whose sum is σ = 42530290790400. Its totient is φ = 3345085900800.

The previous prime is 13103185113143. The next prime is 13103185113211. The reversal of 13103185113180 is 8131158130131.

13103185113180 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 31 + 8 + 511 + 31 + 80 = 666.

It is a super-2 number, since 2×13103185113180² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 895447144 + ... + 895461776.

It is an arithmetic number, because the mean of its divisors is an integer number (110755965600).

Almost surely, 2^{13103185113180} is an apocalyptic number.

13103185113180 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 13103185113180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21265145395200).

13103185113180 is an abundant number, since it is smaller than the sum of its proper divisors (29427105677220).

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

13103185113180 is a wasteful number, since it uses less digits than its factorization.

13103185113180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15162 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 13103185113180 in words is "thirteen trillion, one hundred three billion, one hundred eighty-five million, one hundred thirteen thousand, one hundred eighty".