13018397920 has 288 divisors, whose sum is σ = 35673644160. Its totient is φ = 4449715200.

The previous prime is 13018397911. The next prime is 13018397933. The reversal of 13018397920 is 2979381031.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72728391 + ... + 72728569.

It is an arithmetic number, because the mean of its divisors is an integer number (123866820).

Almost surely, 2^13018397920 is an apocalyptic number.

13018397920 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 13018397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17836822080).

13018397920 is an abundant number, since it is smaller than the sum of its proper divisors (22655246240).

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

13018397920 is a wasteful number, since it uses less digits than its factorization.

13018397920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 13018397920 in words is "thirteen billion, eighteen million, three hundred ninety-seven thousand, nine hundred twenty".