13031020800 has 1296 divisors, whose sum is σ = 59232667200. Its totient is φ = 2821754880.

The previous prime is 13031020759. The next prime is 13031020823. The reversal of 13031020800 is 802013031.

It is a tau number, because it is divible by the number of its divisors (1296).

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

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, 685843191 + ... + 685843209.

Almost surely, 2^13031020800 is an apocalyptic number.

13031020800 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 13031020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29616333600).

13031020800 is an abundant number, since it is smaller than the sum of its proper divisors (46201646400).

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

13031020800 is an frugal number, since it uses more digits than its factorization.

13031020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13031020800 its reverse (802013031), we get a palindrome (13833033831).

The spelling of 13031020800 in words is "thirteen billion, thirty-one million, twenty thousand, eight hundred".