13023531360 has 288 divisors, whose sum is σ = 53780231232. Its totient is φ = 2801664000.

The previous prime is 13023531359. The next prime is 13023531373. The reversal of 13023531360 is 6313532031.

It is a happy number.

13023531360 is a `hidden beast` number, since 1 + 302 + 353 + 1 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×13023531360³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 133360 + ... + 209360.

It is an arithmetic number, because the mean of its divisors is an integer number (186736914).

Almost surely, 2^13023531360 is an apocalyptic number.

13023531360 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 13023531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26890115616).

13023531360 is an abundant number, since it is smaller than the sum of its proper divisors (40756699872).

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

13023531360 is a wasteful number, since it uses less digits than its factorization.

13023531360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76046 (or 76035 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The spelling of 13023531360 in words is "thirteen billion, twenty-three million, five hundred thirty-one thousand, three hundred sixty".