13213123200 has 144 divisors (see below), whose sum is σ = 47147554350. Its totient is φ = 3523491840.

The previous prime is 13213123199. The next prime is 13213123213. The reversal of 13213123200 is 232131231.

13213123200 is a `hidden beast` number, since 1 + 32 + 1 + 312 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7745408064 + 5467715136 = 88008^2 + 73944^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 200595 + ... + 258194.

Almost surely, 2^13213123200 is an apocalyptic number.

13213123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13213123200 is an abundant number, since it is smaller than the sum of its proper divisors (33934431150).

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

13213123200 is a wasteful number, since it uses less digits than its factorization.

13213123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458819 (or 458799 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13213123200 its reverse (232131231), we get a palindrome (13445254431).

The spelling of 13213123200 in words is "thirteen billion, two hundred thirteen million, one hundred twenty-three thousand, two hundred".