13000123421340 has 384 divisors, whose sum is σ = 40385467938816. Its totient is φ = 3124288921600.

The previous prime is 13000123421303. The next prime is 13000123421347. The reversal of 13000123421340 is 4312432100031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13000123421340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000123421347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4892781292 + ... + 4892783948.

It is an arithmetic number, because the mean of its divisors is an integer number (105170489424).

Almost surely, 2^{13000123421340} is an apocalyptic number.

13000123421340 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 13000123421340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20192733969408).

13000123421340 is an abundant number, since it is smaller than the sum of its proper divisors (27385344517476).

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

13000123421340 is a wasteful number, since it uses less digits than its factorization.

13000123421340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13000123421340 its reverse (4312432100031), we get a palindrome (17312555521371).

The spelling of 13000123421340 in words is "thirteen trillion, one hundred twenty-three million, four hundred twenty-one thousand, three hundred forty".