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13100023133 is a prime number
BaseRepresentation
bin11000011001101001…
…00111110101011101
31020210222000010101222
430030310213311131
5203312101220013
610003522543125
7642426234161
oct141464476535
936728003358
1013100023133
1156126922aa
122657207aa5
13130a022ba2
148c3b64ca1
1551a10d508
hex30cd27d5d

13100023133 has 2 divisors, whose sum is σ = 13100023134. Its totient is φ = 13100023132.

The previous prime is 13100023127. The next prime is 13100023177. The reversal of 13100023133 is 33132000131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12262904644 + 837118489 = 110738^2 + 28933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13100023133 is a prime.

It is a super-2 number, since 2×131000231332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13100023193) 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 as a sum of consecutive naturals, namely, 6550011566 + 6550011567.

It is an arithmetic number, because the mean of its divisors is an integer number (6550011567).

Almost surely, 213100023133 is an apocalyptic number.

It is an amenable number.

13100023133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13100023133 is an equidigital number, since it uses as much as digits as its factorization.

13100023133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13100023133 its reverse (33132000131), we get a palindrome (46232023264).

The spelling of 13100023133 in words is "thirteen billion, one hundred million, twenty-three thousand, one hundred thirty-three".