13001421888 has 448 divisors, whose sum is σ = 47621952000. Its totient is φ = 3386769408.

The previous prime is 13001421887. The next prime is 13001421893. The reversal of 13001421888 is 88812410031.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×13001421888² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13001421883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13994608 + ... + 13995536.

It is an arithmetic number, because the mean of its divisors is an integer number (106299000).

Almost surely, 2^13001421888 is an apocalyptic number.

13001421888 is a gapful number since it is divisible by the number (18) 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 13001421888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23810976000).

13001421888 is an abundant number, since it is smaller than the sum of its proper divisors (34620530112).

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

13001421888 is a wasteful number, since it uses less digits than its factorization.

13001421888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 13001421888 in words is "thirteen billion, one million, four hundred twenty-one thousand, eight hundred eighty-eight".