10013314401220 has 48 divisors (see below), whose sum is σ = 22661299347120. Its totient is φ = 3694643582976.

The previous prime is 10013314401191. The next prime is 10013314401221. The reversal of 10013314401220 is 2210441331001.

It can be written as a sum of positive squares in 8 ways, for example, as 555081621444 + 9458232779776 = 745038^2 + 3075424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10013314401191 and 10013314401200.

It is not an unprimeable number, because it can be changed into a prime (10013314401221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13065225 + ... + 13810384.

It is an arithmetic number, because the mean of its divisors is an integer number (472110403065).

Almost surely, 2^{10013314401220} is an apocalyptic number.

10013314401220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013314401220 is an abundant number, since it is smaller than the sum of its proper divisors (12647984945900).

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

10013314401220 is a wasteful number, since it uses less digits than its factorization.

10013314401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26877064 (or 26877062 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10013314401220 its reverse (2210441331001), we get a palindrome (12223755732221).

The spelling of 10013314401220 in words is "ten trillion, thirteen billion, three hundred fourteen million, four hundred one thousand, two hundred twenty".