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13201132213 = 171609482621
BaseRepresentation
bin11000100101101100…
…10100101010110101
31021002000020222222201
430102312110222311
5204013442212323
610021534024501
7645064525633
oct142266245265
937060228881
1013201132213
115664771025
122685048131
131324c64449
148d3364353
15523e318ad
hex312d94ab5

13201132213 has 8 divisors (see below), whose sum is σ = 13986385560. Its totient is φ = 12416847360.

The previous prime is 13201132207. The next prime is 13201132271. The reversal of 13201132213 is 31223110231.

13201132213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6319932004 + 6881200209 = 79498^2 + 82953^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13201132213 - 217 = 13201001141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201112213) 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 7 ways as a sum of consecutive naturals, for example, 213958 + ... + 268663.

It is an arithmetic number, because the mean of its divisors is an integer number (1748298195).

Almost surely, 213201132213 is an apocalyptic number.

It is an amenable number.

13201132213 is a deficient number, since it is larger than the sum of its proper divisors (785253347).

13201132213 is a wasteful number, since it uses less digits than its factorization.

13201132213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484247.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13201132213 its reverse (31223110231), we get a palindrome (44424242444).

The spelling of 13201132213 in words is "thirteen billion, two hundred one million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 17 1609 27353 482621 8204557 776537189 13201132213