13178021120 has 144 divisors (see below), whose sum is σ = 35933127552. Its totient is φ = 4583546880.

The previous prime is 13178021093. The next prime is 13178021147. The reversal of 13178021120 is 2112087131.

It is an interprime number because it is at equal distance from previous prime (13178021093) and next prime (13178021147).

It is a self number, because there is not a number n which added to its sum of digits gives 13178021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303494 + ... + 344186.

It is an arithmetic number, because the mean of its divisors is an integer number (249535608).

Almost surely, 2^13178021120 is an apocalyptic number.

13178021120 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 13178021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17966563776).

13178021120 is an abundant number, since it is smaller than the sum of its proper divisors (22755106432).

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

13178021120 is a wasteful number, since it uses less digits than its factorization.

13178021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40748 (or 40734 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 13178021120 in words is "thirteen billion, one hundred seventy-eight million, twenty-one thousand, one hundred twenty".