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13321132133 = 39733899901
BaseRepresentation
bin11000110100000000…
…00101100001100101
31021101101001121221012
430122000011201211
5204240202212013
610041502032005
7651052516631
oct143200054145
937341047835
1013321132133
115716482811
1226b9278605
131343a8b30a
1490527ddc1
1552e7371a8
hex31a005865

13321132133 has 8 divisors (see below), whose sum is σ = 13359976440. Its totient is φ = 13282315200.

The previous prime is 13321132127. The next prime is 13321132169. The reversal of 13321132133 is 33123112331.

It can be written as a sum of positive squares in 4 ways, for example, as 10342483204 + 2978648929 = 101698^2 + 54577^2 .

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 13321132133 - 226 = 13254023269 is a prime.

It is a super-2 number, since 2×133211321332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13321132099 and 13321132108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321132333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1340483 + ... + 1350383.

It is an arithmetic number, because the mean of its divisors is an integer number (1669997055).

Almost surely, 213321132133 is an apocalyptic number.

It is an amenable number.

13321132133 is a deficient number, since it is larger than the sum of its proper divisors (38844307).

13321132133 is an equidigital number, since it uses as much as digits as its factorization.

13321132133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13687.

The product of its digits is 972, while the sum is 23.

Adding to 13321132133 its reverse (33123112331), we get a palindrome (46444244464).

The spelling of 13321132133 in words is "thirteen billion, three hundred twenty-one million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 397 3389 9901 1345433 3930697 33554489 13321132133