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13220103013 = 131016931001
BaseRepresentation
bin11000100111111101…
…01100001101100101
31021010022221211000221
430103332230031211
5204033321244023
610023452404341
7645415010245
oct142376541545
937108854027
1013220103013
115674449077
12268b4766b1
131328b77280
148d5aa1b25
1552592c85d
hex313fac365

13220103013 has 4 divisors (see below), whose sum is σ = 14237034028. Its totient is φ = 12203172000.

The previous prime is 13220102981. The next prime is 13220103019. The reversal of 13220103013 is 31030102231.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31030102231 = 53585473627.

It can be written as a sum of positive squares in 2 ways, for example, as 7085767329 + 6134335684 = 84177^2 + 78322^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220103013 - 25 = 13220102981 is a prime.

It is a super-2 number, since 2×132201030132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220103019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 508465488 + ... + 508465513.

It is an arithmetic number, because the mean of its divisors is an integer number (3559258507).

Almost surely, 213220103013 is an apocalyptic number.

13220103013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13220103013 is a deficient number, since it is larger than the sum of its proper divisors (1016931015).

13220103013 is a wasteful number, since it uses less digits than its factorization.

13220103013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016931014.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13220103013 its reverse (31030102231), we get a palindrome (44250205244).

The spelling of 13220103013 in words is "thirteen billion, two hundred twenty million, one hundred three thousand, thirteen".

Divisors: 1 13 1016931001 13220103013