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1040112132131 is a prime number
BaseRepresentation
bin11110010001010111000…
…00111010000000100011
310200102201012110212100102
433020223200322000203
5114020122201212011
62113453152413015
7135100643151452
oct17105340720043
93612635425312
101040112132131
11371122201516
121496b754716b
137710b64ba77
14384ad882b99
151c0c7eec73b
hexf22b83a023

1040112132131 has 2 divisors, whose sum is σ = 1040112132132. Its totient is φ = 1040112132130.

The previous prime is 1040112132121. The next prime is 1040112132209. The reversal of 1040112132131 is 1312312110401.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1040112132131 is a prime.

It is a super-3 number, since 3×10401121321313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1040112132121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 520056066065 + 520056066066.

It is an arithmetic number, because the mean of its divisors is an integer number (520056066066).

Almost surely, 21040112132131 is an apocalyptic number.

1040112132131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1040112132131 is an equidigital number, since it uses as much as digits as its factorization.

1040112132131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1040112132131 its reverse (1312312110401), we get a palindrome (2352424242532).

The spelling of 1040112132131 in words is "one trillion, forty billion, one hundred twelve million, one hundred thirty-two thousand, one hundred thirty-one".