13005031350 has 96 divisors (see below), whose sum is σ = 33278584320. Its totient is φ = 3359341440.

The previous prime is 13005031337. The next prime is 13005031363. The reversal of 13005031350 is 5313050031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13005031337) and next prime (13005031363).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617697 + ... + 638403.

It is an arithmetic number, because the mean of its divisors is an integer number (346651920).

Almost surely, 2^13005031350 is an apocalyptic number.

13005031350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005031350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16639292160).

13005031350 is an abundant number, since it is smaller than the sum of its proper divisors (20273552970).

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

13005031350 is a wasteful number, since it uses less digits than its factorization.

13005031350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20854 (or 20849 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

Adding to 13005031350 its reverse (5313050031), we get a palindrome (18318081381).

The spelling of 13005031350 in words is "thirteen billion, five million, thirty-one thousand, three hundred fifty".