13001002320 has 80 divisors (see below), whose sum is σ = 42424338240. Its totient is φ = 3284462592.

The previous prime is 13001002307. The next prime is 13001002321. The reversal of 13001002320 is 2320010031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13001002320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13001002296 and 13001002305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001002321) 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, 1420989 + ... + 1430108.

It is an arithmetic number, because the mean of its divisors is an integer number (530304228).

Almost surely, 2^13001002320 is an apocalyptic number.

13001002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001002320 is an abundant number, since it is smaller than the sum of its proper divisors (29423335920).

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

13001002320 is a wasteful number, since it uses less digits than its factorization.

13001002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851132 (or 2851126 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13001002320 its reverse (2320010031), we get a palindrome (15321012351).

The spelling of 13001002320 in words is "thirteen billion, one million, two thousand, three hundred twenty".