13070200320 has 480 divisors, whose sum is σ = 48418999200. Its totient is φ = 3248750592.

The previous prime is 13070200313. The next prime is 13070200333. The reversal of 13070200320 is 2300207031.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13070200293 and 13070200302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31956276 + ... + 31956684.

It is an arithmetic number, because the mean of its divisors is an integer number (100872915).

Almost surely, 2^13070200320 is an apocalyptic number.

13070200320 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 13070200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24209499600).

13070200320 is an abundant number, since it is smaller than the sum of its proper divisors (35348798880).

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

13070200320 is a wasteful number, since it uses less digits than its factorization.

13070200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 13070200320 its reverse (2300207031), we get a palindrome (15370407351).

The spelling of 13070200320 in words is "thirteen billion, seventy million, two hundred thousand, three hundred twenty".