13362968200 has 96 divisors (see below), whose sum is σ = 31388616000. Its totient is φ = 5290479360.

The previous prime is 13362968197. The next prime is 13362968209. The reversal of 13362968200 is 286926331.

It is a super-2 number, since 2×13362968200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13362968209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9551101 + ... + 9552499.

It is an arithmetic number, because the mean of its divisors is an integer number (326964750).

Almost surely, 2^13362968200 is an apocalyptic number.

13362968200 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 13362968200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15694308000).

13362968200 is an abundant number, since it is smaller than the sum of its proper divisors (18025647800).

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

13362968200 is a wasteful number, since it uses less digits than its factorization.

13362968200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 13362968200 in words is "thirteen billion, three hundred sixty-two million, nine hundred sixty-eight thousand, two hundred".