13220010201000 has 256 divisors, whose sum is σ = 42377630181120. Its totient is φ = 3428726400000.

The previous prime is 13220010200993. The next prime is 13220010201043. The reversal of 13220010201000 is 10201002231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304229275 + ... + 304272725.

It is an arithmetic number, because the mean of its divisors is an integer number (165537617895).

Almost surely, 2^{13220010201000} is an apocalyptic number.

13220010201000 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 13220010201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21188815090560).

13220010201000 is an abundant number, since it is smaller than the sum of its proper divisors (29157619980120).

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

13220010201000 is a wasteful number, since it uses less digits than its factorization.

13220010201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46253 (or 46239 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13220010201000 its reverse (10201002231), we get a palindrome (13230211203231).

The spelling of 13220010201000 in words is "thirteen trillion, two hundred twenty billion, ten million, two hundred one thousand".