13310242000 has 120 divisors (see below), whose sum is σ = 35376626376. Its totient is φ = 4840000000.

The previous prime is 13310241991. The next prime is 13310242003. The reversal of 13310242000 is 24201331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3544059024 + 9766182976 = 59532^2 + 98824^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310242003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214500 + ... + 269500.

Almost surely, 2^13310242000 is an apocalyptic number.

13310242000 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 13310242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688313188).

13310242000 is an abundant number, since it is smaller than the sum of its proper divisors (22066384376).

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

13310242000 is a wasteful number, since it uses less digits than its factorization.

13310242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55046 (or 55019 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13310242000 its reverse (24201331), we get a palindrome (13334443331).

It can be divided in two parts, 13 and 310242000, that added together give a palindrome (310242013).

The spelling of 13310242000 in words is "thirteen billion, three hundred ten million, two hundred forty-two thousand".