13165416012 has 192 divisors, whose sum is σ = 37977569280. Its totient is φ = 3464294400.

The previous prime is 13165416001. The next prime is 13165416013. The reversal of 13165416012 is 21061456131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13165416013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31271562 + ... + 31271982.

It is an arithmetic number, because the mean of its divisors is an integer number (197799840).

Almost surely, 2^13165416012 is an apocalyptic number.

13165416012 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 13165416012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18988784640).

13165416012 is an abundant number, since it is smaller than the sum of its proper divisors (24812153268).

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

13165416012 is a wasteful number, since it uses less digits than its factorization.

13165416012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 13165416012 in words is "thirteen billion, one hundred sixty-five million, four hundred sixteen thousand, twelve".