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13132113302333 is a prime number
BaseRepresentation
bin1011111100011000111011…
…1100101101001100111101
31201111102021112222122201002
42333012032330231030331
53210124032001133313
643532450511100045
72523523003215134
oct277061674551475
951442245878632
1013132113302333
114203330673183
121581112211625
137434786277ac
1433585204091b
1517b8e2cde058
hexbf18ef2d33d

13132113302333 has 2 divisors, whose sum is σ = 13132113302334. Its totient is φ = 13132113302332.

The previous prime is 13132113302327. The next prime is 13132113302369. The reversal of 13132113302333 is 33320331123131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11871732109444 + 1260381192889 = 3445538^2 + 1122667^2 .

It is a cyclic number.

It is not a de Polignac number, because 13132113302333 - 24 = 13132113302317 is a prime.

It is a super-2 number, since 2×131321133023332 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13132113302296 and 13132113302305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13132113302383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566056651166 + 6566056651167.

It is an arithmetic number, because the mean of its divisors is an integer number (6566056651167).

Almost surely, 213132113302333 is an apocalyptic number.

It is an amenable number.

13132113302333 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132113302333 is an equidigital number, since it uses as much as digits as its factorization.

13132113302333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 13132113302333 its reverse (33320331123131), we get a palindrome (46452444425464).

The spelling of 13132113302333 in words is "thirteen trillion, one hundred thirty-two billion, one hundred thirteen million, three hundred two thousand, three hundred thirty-three".