13000312420 has 36 divisors (see below), whose sum is σ = 29001055860. Its totient is φ = 4894233088.

The previous prime is 13000312387. The next prime is 13000312459. The reversal of 13000312420 is 2421300031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1604322916 + 11395989504 = 40054^2 + 106752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13000312394 and 13000312403.

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 11 ways as a sum of consecutive naturals, for example, 1118815 + ... + 1130374.

It is an arithmetic number, because the mean of its divisors is an integer number (805584885).

Almost surely, 2^13000312420 is an apocalyptic number.

13000312420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000312420 is an abundant number, since it is smaller than the sum of its proper divisors (16000743440).

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

13000312420 is a wasteful number, since it uses less digits than its factorization.

13000312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249232 (or 2249213 counting only the distinct ones).

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

Adding to 13000312420 its reverse (2421300031), we get a palindrome (15421612451).

The spelling of 13000312420 in words is "thirteen billion, three hundred twelve thousand, four hundred twenty".