13023011230320 has 320 divisors, whose sum is σ = 50246094044160. Its totient is φ = 2716838682624.

The previous prime is 13023011230289. The next prime is 13023011230343. The reversal of 13023011230320 is 2303211032031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1406194 + ... + 5293713.

It is an arithmetic number, because the mean of its divisors is an integer number (157019043888).

Almost surely, 2^{13023011230320} is an apocalyptic number.

13023011230320 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 13023011230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25123047022080).

13023011230320 is an abundant number, since it is smaller than the sum of its proper divisors (37223082813840).

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

13023011230320 is a wasteful number, since it uses less digits than its factorization.

13023011230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700032 (or 6700026 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13023011230320 its reverse (2303211032031), we get a palindrome (15326222262351).

The spelling of 13023011230320 in words is "thirteen trillion, twenty-three billion, eleven million, two hundred thirty thousand, three hundred twenty".