20131213200 has 240 divisors, whose sum is σ = 75498251136. Its totient is φ = 4489113600.

The previous prime is 20131213181. The next prime is 20131213211. The reversal of 20131213200 is 231213102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×20131213200³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20131213200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315174 + ... + 373626.

Almost surely, 2^20131213200 is an apocalyptic number.

20131213200 is a gapful number since it is divisible by the number (20) 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 20131213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37749125568).

20131213200 is an abundant number, since it is smaller than the sum of its proper divisors (55367037936).

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

20131213200 is a wasteful number, since it uses less digits than its factorization.

20131213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58522 (or 58511 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20131213200 its reverse (231213102), we get a palindrome (20362426302).

The spelling of 20131213200 in words is "twenty billion, one hundred thirty-one million, two hundred thirteen thousand, two hundred".