13213214130000 has 400 divisors, whose sum is σ = 45508063208256. Its totient is φ = 3290926080000.

The previous prime is 13213214129981. The next prime is 13213214130007. The reversal of 13213214130000 is 3141231231.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213214130007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66711114 + ... + 66908886.

Almost surely, 2^{13213214130000} is an apocalyptic number.

13213214130000 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 13213214130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22754031604128).

13213214130000 is an abundant number, since it is smaller than the sum of its proper divisors (32294849078256).

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

13213214130000 is a wasteful number, since it uses less digits than its factorization.

13213214130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197952 (or 197931 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13213214130000 its reverse (3141231231), we get a palindrome (13216355361231).

The spelling of 13213214130000 in words is "thirteen trillion, two hundred thirteen billion, two hundred fourteen million, one hundred thirty thousand".