13214015200 has 216 divisors, whose sum is σ = 34399454544. Its totient is φ = 4947148800.

The previous prime is 13214015189. The next prime is 13214015233. The reversal of 13214015200 is 251041231.

It is a super-2 number, since 2×13214015200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68466304 + ... + 68466496.

It is an arithmetic number, because the mean of its divisors is an integer number (159256734).

Almost surely, 2^13214015200 is an apocalyptic number.

13214015200 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 13214015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199727272).

13214015200 is an abundant number, since it is smaller than the sum of its proper divisors (21185439344).

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

13214015200 is a wasteful number, since it uses less digits than its factorization.

13214015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 13214015200 its reverse (251041231), we get a palindrome (13465056431).

The spelling of 13214015200 in words is "thirteen billion, two hundred fourteen million, fifteen thousand, two hundred".