13013002340 has 96 divisors (see below), whose sum is σ = 31045835520. Its totient is φ = 4541999616.

The previous prime is 13013002319. The next prime is 13013002361. The reversal of 13013002340 is 4320031031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13013002319) and next prime (13013002361).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2482202 + ... + 2487438.

It is an arithmetic number, because the mean of its divisors is an integer number (323394120).

Almost surely, 2^13013002340 is an apocalyptic number.

13013002340 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 13013002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15522917760).

13013002340 is an abundant number, since it is smaller than the sum of its proper divisors (18032833180).

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

13013002340 is a wasteful number, since it uses less digits than its factorization.

13013002340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13013002340 its reverse (4320031031), we get a palindrome (17333033371).

The spelling of 13013002340 in words is "thirteen billion, thirteen million, two thousand, three hundred forty".