13042778112 has 544 divisors, whose sum is σ = 48150242560. Its totient is φ = 3439853568.

The previous prime is 13042778071. The next prime is 13042778137. The reversal of 13042778112 is 21187724031.

13042778112 is a `hidden beast` number, since 1 + 304 + 277 + 81 + 1 + 2 = 666.

It is a super-2 number, since 2×13042778112² (a number of 21 digits) contains 22 as substring.

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

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, 1003290618 + ... + 1003290630.

Almost surely, 2^13042778112 is an apocalyptic number.

13042778112 is a gapful number since it is divisible by the number (12) 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 13042778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24075121280).

13042778112 is an abundant number, since it is smaller than the sum of its proper divisors (35107464448).

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

13042778112 is an frugal number, since it uses more digits than its factorization.

13042778112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 13042778112 in words is "thirteen billion, forty-two million, seven hundred seventy-eight thousand, one hundred twelve".