13016405200 has 60 divisors (see below), whose sum is σ = 31406352588. Its totient is φ = 5184179200.

The previous prime is 13016405189. The next prime is 13016405243. The reversal of 13016405200 is 250461031.

It can be written as a sum of positive squares in 6 ways, for example, as 901440576 + 12114964624 = 30024^2 + 110068^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23370 + ... + 163030.

Almost surely, 2^13016405200 is an apocalyptic number.

13016405200 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 13016405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703176294).

13016405200 is an abundant number, since it is smaller than the sum of its proper divisors (18389947388).

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

13016405200 is a wasteful number, since it uses less digits than its factorization.

13016405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139912 (or 139901 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13016405200 its reverse (250461031), we get a palindrome (13266866231).

The spelling of 13016405200 in words is "thirteen billion, sixteen million, four hundred five thousand, two hundred".