13010121323000 has 256 divisors, whose sum is σ = 32178317783040. Its totient is φ = 4915729728000.

The previous prime is 13010121322997. The next prime is 13010121323009. The reversal of 13010121323000 is 32312101031.

It is a self number, because there is not a number n which added to its sum of digits gives 13010121323000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010121323009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2981918819 + ... + 2981923181.

It is an arithmetic number, because the mean of its divisors is an integer number (125696553840).

Almost surely, 2^{13010121323000} is an apocalyptic number.

13010121323000 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 13010121323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089158891520).

13010121323000 is an abundant number, since it is smaller than the sum of its proper divisors (19168196460040).

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

13010121323000 is a wasteful number, since it uses less digits than its factorization.

13010121323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695 (or 6681 counting only the distinct ones).

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

Adding to 13010121323000 its reverse (32312101031), we get a palindrome (13042433424031).

The spelling of 13010121323000 in words is "thirteen trillion, ten billion, one hundred twenty-one million, three hundred twenty-three thousand".