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13321132013 = 72271859837
BaseRepresentation
bin11000110100000000…
…00101011111101101
31021101101001121202202
430122000011133231
5204240202211023
610041502031245
7651052516400
oct143200053755
937341047682
1013321132013
115716482712
1226b9278525
131343a8b247
1490527dd37
1552e737128
hex31a0057ed

13321132013 has 6 divisors (see below), whose sum is σ = 15496010766. Its totient is φ = 11418113112.

The previous prime is 13321132007. The next prime is 13321132091. The reversal of 13321132013 is 31023112331.

It can be written as a sum of positive squares in only one way, i.e., 13265971684 + 55160329 = 115178^2 + 7427^2 .

It is not a de Polignac number, because 13321132013 - 28 = 13321131757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321132003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135929870 + ... + 135929967.

It is an arithmetic number, because the mean of its divisors is an integer number (2582668461).

Almost surely, 213321132013 is an apocalyptic number.

It is an amenable number.

13321132013 is a deficient number, since it is larger than the sum of its proper divisors (2174878753).

13321132013 is an equidigital number, since it uses as much as digits as its factorization.

13321132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271859851 (or 271859844 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13321132013 its reverse (31023112331), we get a palindrome (44344244344).

The spelling of 13321132013 in words is "thirteen billion, three hundred twenty-one million, one hundred thirty-two thousand, thirteen".

Divisors: 1 7 49 271859837 1903018859 13321132013