13015411420 has 48 divisors (see below), whose sum is σ = 29881208448. Its totient is φ = 4722704960.

The previous prime is 13015411417. The next prime is 13015411427. The reversal of 13015411420 is 2411451031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13015411391 and 13015411400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13015411427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39399 + ... + 166081.

It is an arithmetic number, because the mean of its divisors is an integer number (622525176).

Almost surely, 2^13015411420 is an apocalyptic number.

13015411420 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 13015411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940604224).

13015411420 is an abundant number, since it is smaller than the sum of its proper divisors (16865797028).

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

13015411420 is a wasteful number, since it uses less digits than its factorization.

13015411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127170 (or 127168 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 13015411420 its reverse (2411451031), we get a palindrome (15426862451).

The spelling of 13015411420 in words is "thirteen billion, fifteen million, four hundred eleven thousand, four hundred twenty".