13003413423000 has 2048 divisors, whose sum is σ = 57641833267200. Its totient is φ = 2352125952000.

The previous prime is 13003413422981. The next prime is 13003413423001. The reversal of 13003413423000 is 32431430031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003413423001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5042035711 + ... + 5042038289.

It is an arithmetic number, because the mean of its divisors is an integer number (28145426400).

Almost surely, 2^{13003413423000} is an apocalyptic number.

13003413423000 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 13003413423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28820916633600).

13003413423000 is an abundant number, since it is smaller than the sum of its proper divisors (44638419844200).

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

13003413423000 is a wasteful number, since it uses less digits than its factorization.

13003413423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13003413423000 its reverse (32431430031), we get a palindrome (13035844853031).

The spelling of 13003413423000 in words is "thirteen trillion, three billion, four hundred thirteen million, four hundred twenty-three thousand".