13300013123000 has 128 divisors (see below), whose sum is σ = 31513292853120. Its totient is φ = 5253415833600.

The previous prime is 13300013122987. The next prime is 13300013123021. The reversal of 13300013123000 is 32131000331.

It is a self number, because there is not a number n which added to its sum of digits gives 13300013123000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36176102 + ... + 36541898.

It is an arithmetic number, because the mean of its divisors is an integer number (246197600415).

Almost surely, 2^{13300013123000} is an apocalyptic number.

13300013123000 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 13300013123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15756646426560).

13300013123000 is an abundant number, since it is smaller than the sum of its proper divisors (18213279730120).

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

13300013123000 is a wasteful number, since it uses less digits than its factorization.

13300013123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366274 (or 366260 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13300013123000 its reverse (32131000331), we get a palindrome (13332144123331).

The spelling of 13300013123000 in words is "thirteen trillion, three hundred billion, thirteen million, one hundred twenty-three thousand".