12013100013320 has 128 divisors (see below), whose sum is σ = 32714813952000. Its totient is φ = 3875680997376.

The previous prime is 12013100013311. The next prime is 12013100013329. The reversal of 12013100013320 is 2331000131021.

It is an interprime number because it is at equal distance from previous prime (12013100013311) and next prime (12013100013329).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (12013100013329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22580294 + ... + 23106186.

It is an arithmetic number, because the mean of its divisors is an integer number (255584484000).

Almost surely, 2^{12013100013320} is an apocalyptic number.

12013100013320 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 12013100013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357406976000).

12013100013320 is an abundant number, since it is smaller than the sum of its proper divisors (20701713938680).

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

12013100013320 is a wasteful number, since it uses less digits than its factorization.

12013100013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530727 (or 530723 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12013100013320 its reverse (2331000131021), we get a palindrome (14344100144341).

The spelling of 12013100013320 in words is "twelve trillion, thirteen billion, one hundred million, thirteen thousand, three hundred twenty".