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1132131100013 is a prime number
BaseRepresentation
bin10000011110011000010…
…001011010010101101101
311000020020011101202201222
4100132120101122111231
5122022101030200023
62224032134313125
7144536156366654
oct20363021322555
94006204352658
101132131100013
113a7152545001
121634b84b87a5
13829b4829aa4
143cb1c97619b
151e6b1736cc8
hex1079845a56d

1132131100013 has 2 divisors, whose sum is σ = 1132131100014. Its totient is φ = 1132131100012.

The previous prime is 1132131099989. The next prime is 1132131100027. The reversal of 1132131100013 is 3100011312311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 782469392329 + 349661707684 = 884573^2 + 591322^2 .

It is a cyclic number.

It is not a de Polignac number, because 1132131100013 - 236 = 1063411623277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1132131099964 and 1132131100000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1132131105013) 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, 566065550006 + 566065550007.

It is an arithmetic number, because the mean of its divisors is an integer number (566065550007).

Almost surely, 21132131100013 is an apocalyptic number.

It is an amenable number.

1132131100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1132131100013 is an equidigital number, since it uses as much as digits as its factorization.

1132131100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1132131100013 its reverse (3100011312311), we get a palindrome (4232142412324).

The spelling of 1132131100013 in words is "one trillion, one hundred thirty-two billion, one hundred thirty-one million, one hundred thousand, thirteen".