13531020000 has 240 divisors, whose sum is σ = 45124268112. Its totient is φ = 3548160000.

The previous prime is 13531019941. The next prime is 13531020007. The reversal of 13531020000 is 2013531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531020007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3658152 + ... + 3661848.

Almost surely, 2^13531020000 is an apocalyptic number.

13531020000 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 13531020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22562134056).

13531020000 is an abundant number, since it is smaller than the sum of its proper divisors (31593248112).

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

13531020000 is an equidigital number, since it uses as much as digits as its factorization.

13531020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 13531020000 its reverse (2013531), we get a palindrome (13533033531).

The spelling of 13531020000 in words is "thirteen billion, five hundred thirty-one million, twenty thousand".