13631085000 has 480 divisors, whose sum is σ = 51580488960. Its totient is φ = 3351456000.

The previous prime is 13631084981. The next prime is 13631085019. The reversal of 13631085000 is 58013631.

It is an interprime number because it is at equal distance from previous prime (13631084981) and next prime (13631085019).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15794569 + ... + 15795431.

It is an arithmetic number, because the mean of its divisors is an integer number (107459352).

Almost surely, 2^13631085000 is an apocalyptic number.

13631085000 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 13631085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25790244480).

13631085000 is an abundant number, since it is smaller than the sum of its proper divisors (37949403960).

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

13631085000 is an equidigital number, since it uses as much as digits as its factorization.

13631085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13631085000 its reverse (58013631), we get a palindrome (13689098631).

The spelling of 13631085000 in words is "thirteen billion, six hundred thirty-one million, eighty-five thousand".