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13321100133 = 3311421910631
BaseRepresentation
bin11000110011111111…
…11101101101100101
31021101101000000001000
430121333331231211
5204240200201013
610041501223513
7651052324425
oct143177755545
937341000030
1013321100133
115716460770
1226b9261b99
131343a79893
14905272485
1552e72c973
hex319ffdb65

13321100133 has 32 divisors (see below), whose sum is σ = 21536179200. Its totient is φ = 8070721200.

The previous prime is 13321100131. The next prime is 13321100201. The reversal of 13321100133 is 33100112331.

It is a happy number.

It is not a de Polignac number, because 13321100133 - 21 = 13321100131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247728 + ... + 1258358.

It is an arithmetic number, because the mean of its divisors is an integer number (673005600).

Almost surely, 213321100133 is an apocalyptic number.

It is an amenable number.

13321100133 is a deficient number, since it is larger than the sum of its proper divisors (8215079067).

13321100133 is a wasteful number, since it uses less digits than its factorization.

13321100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14870 (or 14864 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13321100133 its reverse (33100112331), we get a palindrome (46421212464).

The spelling of 13321100133 in words is "thirteen billion, three hundred twenty-one million, one hundred thousand, one hundred thirty-three".

Divisors: 1 3 9 11 27 33 99 297 4219 10631 12657 31893 37971 46409 95679 113913 116941 139227 287037 350823 417681 1052469 1253043 3157407 44852189 134556567 403669701 493374079 1211009103 1480122237 4440366711 13321100133