13534431120 has 720 divisors, whose sum is σ = 56740207680. Its totient is φ = 2874009600.

The previous prime is 13534431091. The next prime is 13534431149. The reversal of 13534431120 is 2113443531.

It is a happy number.

13534431120 is a `hidden beast` number, since 1 + 3 + 5 + 344 + 311 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13534431091) and next prime (13534431149).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40889355 + ... + 40889685.

It is an arithmetic number, because the mean of its divisors is an integer number (78805844).

Almost surely, 2^13534431120 is an apocalyptic number.

13534431120 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 13534431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28370103840).

13534431120 is an abundant number, since it is smaller than the sum of its proper divisors (43205776560).

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

13534431120 is a wasteful number, since it uses less digits than its factorization.

13534431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13534431120 its reverse (2113443531), we get a palindrome (15647874651).

It can be divided in two parts, 135344 and 31120, that added together give a square (166464 = 408²).

The spelling of 13534431120 in words is "thirteen billion, five hundred thirty-four million, four hundred thirty-one thousand, one hundred twenty".