13214310000 has 400 divisors, whose sum is σ = 45555417600. Its totient is φ = 3290112000.

The previous prime is 13214309987. The next prime is 13214310023. The reversal of 13214310000 is 1341231.

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

It is a super-2 number, since 2×13214310000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55289881 + ... + 55290119.

It is an arithmetic number, because the mean of its divisors is an integer number (113888544).

Almost surely, 2^13214310000 is an apocalyptic number.

13214310000 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 13214310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22777708800).

13214310000 is an abundant number, since it is smaller than the sum of its proper divisors (32341107600).

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

13214310000 is a wasteful number, since it uses less digits than its factorization.

13214310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

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

Adding to 13214310000 its reverse (1341231), we get a palindrome (13215651231).

The spelling of 13214310000 in words is "thirteen billion, two hundred fourteen million, three hundred ten thousand".