13024100320 has 192 divisors, whose sum is σ = 38621463552. Its totient is φ = 4032000000.

The previous prime is 13024100269. The next prime is 13024100347. The reversal of 13024100320 is 2300142031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13024100294 and 13024100303.

It is a congruent number.

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, 1856820 + ... + 1863820.

It is an arithmetic number, because the mean of its divisors is an integer number (201153456).

Almost surely, 2^13024100320 is an apocalyptic number.

13024100320 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 13024100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19310731776).

13024100320 is an abundant number, since it is smaller than the sum of its proper divisors (25597363232).

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

13024100320 is a wasteful number, since it uses less digits than its factorization.

13024100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7185 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13024100320 its reverse (2300142031), we get a palindrome (15324242351).

The spelling of 13024100320 in words is "thirteen billion, twenty-four million, one hundred thousand, three hundred twenty".