13013330023320 has 512 divisors, whose sum is σ = 43667776512000. Its totient is φ = 3075962204160.

The previous prime is 13013330023319. The next prime is 13013330023321. The reversal of 13013330023320 is 2332003331031.

It is an interprime number because it is at equal distance from previous prime (13013330023319) and next prime (13013330023321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013330023321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6382210861 + ... + 6382212899.

It is an arithmetic number, because the mean of its divisors is an integer number (85288626000).

Almost surely, 2^{13013330023320} is an apocalyptic number.

13013330023320 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 13013330023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833888256000).

13013330023320 is an abundant number, since it is smaller than the sum of its proper divisors (30654446488680).

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

13013330023320 is a wasteful number, since it uses less digits than its factorization.

13013330023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13013330023320 its reverse (2332003331031), we get a palindrome (15345333354351).

The spelling of 13013330023320 in words is "thirteen trillion, thirteen billion, three hundred thirty million, twenty-three thousand, three hundred twenty".