13013220000000 has 576 divisors, whose sum is σ = 47230650964224. Its totient is φ = 3154560000000.

The previous prime is 13013219999977. The next prime is 13013220000017. The reversal of 13013220000000 is 2231031.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 659990142 + ... + 660009858.

It is an arithmetic number, because the mean of its divisors is an integer number (81997657924).

Almost surely, 2^{13013220000000} is an apocalyptic number.

13013220000000 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 13013220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23615325482112).

13013220000000 is an abundant number, since it is smaller than the sum of its proper divisors (34217430964224).

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

13013220000000 is an frugal number, since it uses more digits than its factorization.

13013220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19782 (or 19738 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13013220000000 its reverse (2231031), we get a palindrome (13013222231031).

The spelling of 13013220000000 in words is "thirteen trillion, thirteen billion, two hundred twenty million", and thus it is an aban number.