13001330340 has 72 divisors (see below), whose sum is σ = 39799239480. Its totient is φ = 3435208704.

The previous prime is 13001330339. The next prime is 13001330351. The reversal of 13001330340 is 4303310031.

13001330340 is a `hidden beast` number, since 1 + 300 + 1 + 330 + 34 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2596106304 + 10405224036 = 50952^2 + 102006^2 .

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 23 ways as a sum of consecutive naturals, for example, 311709 + ... + 350948.

It is an arithmetic number, because the mean of its divisors is an integer number (552767215).

Almost surely, 2^13001330340 is an apocalyptic number.

13001330340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001330340 is an abundant number, since it is smaller than the sum of its proper divisors (26797909140).

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

13001330340 is a wasteful number, since it uses less digits than its factorization.

13001330340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662781 (or 662776 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13001330340 its reverse (4303310031), we get a palindrome (17304640371).

The spelling of 13001330340 in words is "thirteen billion, one million, three hundred thirty thousand, three hundred forty".