13012029188016 has 160 divisors (see below), whose sum is σ = 35680701574656. Its totient is φ = 4072008192000.

The previous prime is 13012029187973. The next prime is 13012029188029. The reversal of 13012029188016 is 61088192021031.

13012029188016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13012029188016³ (a number of 40 digits) contains 333 as substring.

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, 1050113181 + ... + 1050125571.

Almost surely, 2^{13012029188016} is an apocalyptic number.

13012029188016 is a gapful number since it is divisible by the number (16) 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 13012029188016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17840350787328).

13012029188016 is an abundant number, since it is smaller than the sum of its proper divisors (22668672386640).

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

13012029188016 is a wasteful number, since it uses less digits than its factorization.

13012029188016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15531 (or 15525 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 13012029188016 in words is "thirteen trillion, twelve billion, twenty-nine million, one hundred eighty-eight thousand, sixteen".