13214202000 has 320 divisors, whose sum is σ = 45359668224. Its totient is φ = 3298099200.

The previous prime is 13214201993. The next prime is 13214202013. The reversal of 13214202000 is 20241231.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36005817 + ... + 36006183.

Almost surely, 2^13214202000 is an apocalyptic number.

13214202000 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 13214202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22679834112).

13214202000 is an abundant number, since it is smaller than the sum of its proper divisors (32145466224).

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

13214202000 is a wasteful number, since it uses less digits than its factorization.

13214202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13214202000 its reverse (20241231), we get a palindrome (13234443231).

The spelling of 13214202000 in words is "thirteen billion, two hundred fourteen million, two hundred two thousand".