13001121270 has 80 divisors (see below), whose sum is σ = 35161022160. Its totient is φ = 3446888256.

The previous prime is 13001121239. The next prime is 13001121271. The reversal of 13001121270 is 7212110031.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001121271) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93741 + ... + 186519.

It is an arithmetic number, because the mean of its divisors is an integer number (439512777).

Almost surely, 2^13001121270 is an apocalyptic number.

13001121270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13001121270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580511080).

13001121270 is an abundant number, since it is smaller than the sum of its proper divisors (22159900890).

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

13001121270 is a wasteful number, since it uses less digits than its factorization.

13001121270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92971 (or 92962 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 13001121270 in words is "thirteen billion, one million, one hundred twenty-one thousand, two hundred seventy".