13000029120 has 224 divisors, whose sum is σ = 49389426240. Its totient is φ = 3199979520.

The previous prime is 13000029079. The next prime is 13000029173. The reversal of 13000029120 is 2192000031.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13000029093 and 13000029102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54450 + ... + 170190.

It is an arithmetic number, because the mean of its divisors is an integer number (220488510).

Almost surely, 2^13000029120 is an apocalyptic number.

13000029120 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 13000029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24694713120).

13000029120 is an abundant number, since it is smaller than the sum of its proper divisors (36389397120).

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

13000029120 is a wasteful number, since it uses less digits than its factorization.

13000029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115780 (or 115764 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13000029120 its reverse (2192000031), we get a palindrome (15192029151).

The spelling of 13000029120 in words is "thirteen billion, twenty-nine thousand, one hundred twenty".