13023021013002 has 384 divisors, whose sum is σ = 38098463090688. Its totient is φ = 3104872819200.

The previous prime is 13023021012931. The next prime is 13023021013031. The reversal of 13023021013002 is 20031012032031.

13023021013002 is a `hidden beast` number, since 1 + 30 + 230 + 2 + 101 + 300 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2550030933 + ... + 2550036039.

It is an arithmetic number, because the mean of its divisors is an integer number (99214747632).

Almost surely, 2^{13023021013002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023021013002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19049231545344).

13023021013002 is an abundant number, since it is smaller than the sum of its proper divisors (25075442077686).

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

13023021013002 is a wasteful number, since it uses less digits than its factorization.

13023021013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5911 counting only the distinct ones).

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

Adding to 13023021013002 its reverse (20031012032031), we get a palindrome (33054033045033).

The spelling of 13023021013002 in words is "thirteen trillion, twenty-three billion, twenty-one million, thirteen thousand, two".