13029213120 has 224 divisors, whose sum is σ = 51575671296. Its totient is φ = 2707353600.

The previous prime is 13029213101. The next prime is 13029213133. The reversal of 13029213120 is 2131292031.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14211 + ... + 162050.

Almost surely, 2^13029213120 is an apocalyptic number.

13029213120 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 13029213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25787835648).

13029213120 is an abundant number, since it is smaller than the sum of its proper divisors (38546458176).

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

13029213120 is a wasteful number, since it uses less digits than its factorization.

13029213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176299 (or 176289 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 13029213120 in words is "thirteen billion, twenty-nine million, two hundred thirteen thousand, one hundred twenty".