13507029120 has 256 divisors, whose sum is σ = 46741524480. Its totient is φ = 3297853440.

The previous prime is 13507029113. The next prime is 13507029157. The reversal of 13507029120 is 2192070531.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3167790 + ... + 3172050.

It is an arithmetic number, because the mean of its divisors is an integer number (182584080).

Almost surely, 2^13507029120 is an apocalyptic number.

13507029120 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 13507029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23370762240).

13507029120 is an abundant number, since it is smaller than the sum of its proper divisors (33234495360).

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

13507029120 is a wasteful number, since it uses less digits than its factorization.

13507029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

Adding to 13507029120 its reverse (2192070531), we get a palindrome (15699099651).

The spelling of 13507029120 in words is "thirteen billion, five hundred seven million, twenty-nine thousand, one hundred twenty".