13001323140 has 72 divisors (see below), whose sum is σ = 42470996568. Its totient is φ = 3200325120.

The previous prime is 13001323129. The next prime is 13001323147. The reversal of 13001323140 is 4132310031.

13001323140 is a `hidden beast` number, since 1 + 300 + 1 + 323 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1834751556 + 11166571584 = 42834^2 + 105672^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13001323147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2775721 + ... + 2780400.

Almost surely, 2^13001323140 is an apocalyptic number.

13001323140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001323140 is an abundant number, since it is smaller than the sum of its proper divisors (29469673428).

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

13001323140 is a wasteful number, since it uses less digits than its factorization.

13001323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556149 (or 5556144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13001323140 its reverse (4132310031), we get a palindrome (17133633171).

The spelling of 13001323140 in words is "thirteen billion, one million, three hundred twenty-three thousand, one hundred forty".