13020004042040 has 64 divisors (see below), whose sum is σ = 29419509225600. Its totient is φ = 5185871122432.

The previous prime is 13020004042037. The next prime is 13020004042043. The reversal of 13020004042040 is 4024040002031.

It is an interprime number because it is at equal distance from previous prime (13020004042037) and next prime (13020004042043).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020004042043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186891854 + ... + 186961506.

It is an arithmetic number, because the mean of its divisors is an integer number (459679831650).

Almost surely, 2^{13020004042040} is an apocalyptic number.

13020004042040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13020004042040 is an abundant number, since it is smaller than the sum of its proper divisors (16399505183560).

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

13020004042040 is a wasteful number, since it uses less digits than its factorization.

13020004042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89456 (or 89452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 13020004042040 its reverse (4024040002031), we get a palindrome (17044044044071).

The spelling of 13020004042040 in words is "thirteen trillion, twenty billion, four million, forty-two thousand, forty".