13531104000 has 288 divisors, whose sum is σ = 49940479680. Its totient is φ = 3608064000.

The previous prime is 13531103951. The next prime is 13531104001. The reversal of 13531104000 is 40113531.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531104001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856170 + ... + 871830.

Almost surely, 2^13531104000 is an apocalyptic number.

13531104000 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 13531104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24970239840).

13531104000 is an abundant number, since it is smaller than the sum of its proper divisors (36409375680).

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

13531104000 is an equidigital number, since it uses as much as digits as its factorization.

13531104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15701 (or 15671 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13531104000 its reverse (40113531), we get a palindrome (13571217531).

It can be divided in two parts, 135 and 31104000, that multiplied together give a square (4199040000 = 64800²).

The spelling of 13531104000 in words is "thirteen billion, five hundred thirty-one million, one hundred four thousand".