13000123121328 has 240 divisors, whose sum is σ = 45543753852480. Its totient is φ = 3375285387264.

The previous prime is 13000123121303. The next prime is 13000123121329. The reversal of 13000123121328 is 82312132100031.

13000123121328 is a `hidden beast` number, since 1 + 300 + 0 + 1 + 2 + 31 + 2 + 1 + 328 = 666.

It is a super-2 number, since 2×13000123121328² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13000123121329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12583125 + ... + 13577012.

It is an arithmetic number, because the mean of its divisors is an integer number (189765641052).

Almost surely, 2^{13000123121328} is an apocalyptic number.

13000123121328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13000123121328 is an abundant number, since it is smaller than the sum of its proper divisors (32543630731152).

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

13000123121328 is a wasteful number, since it uses less digits than its factorization.

13000123121328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26160204 (or 26160195 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13000123121328 its reverse (82312132100031), we get a palindrome (95312255221359).

The spelling of 13000123121328 in words is "thirteen trillion, one hundred twenty-three million, one hundred twenty-one thousand, three hundred twenty-eight".