13123023102000 has 720 divisors, whose sum is σ = 55156145896800. Its totient is φ = 2896109798400.

The previous prime is 13123023101957. The next prime is 13123023102017. The reversal of 13123023102000 is 20132032131.

13123023102000 is a `hidden beast` number, since 1 + 3 + 1 + 230 + 231 + 0 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25321471 + ... + 25834529.

It is an arithmetic number, because the mean of its divisors is an integer number (76605758190).

Almost surely, 2^{13123023102000} is an apocalyptic number.

13123023102000 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 13123023102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578072948400).

13123023102000 is an abundant number, since it is smaller than the sum of its proper divisors (42033122794800).

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

13123023102000 is a wasteful number, since it uses less digits than its factorization.

13123023102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513131 (or 513105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13123023102000 its reverse (20132032131), we get a palindrome (13143155134131).

The spelling of 13123023102000 in words is "thirteen trillion, one hundred twenty-three billion, twenty-three million, one hundred two thousand".