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331121100032113 is a prime number
BaseRepresentation
bin100101101001001110010001…
…1100010111000100001110001
31121102101212102210010210200211
41023102130203202320201301
5321400042003102011423
63132122533335544121
7126513465352206406
oct11322344342704161
91542355383123624
10331121100032113
1196561740727a36
12311795a252b041
131129b77cb89421
145baa4bd6bc2ad
1528433466e510d
hex12d27238b8871

331121100032113 has 2 divisors, whose sum is σ = 331121100032114. Its totient is φ = 331121100032112.

The previous prime is 331121100032089. The next prime is 331121100032141. The reversal of 331121100032113 is 311230001121133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 324471339295744 + 6649760736369 = 18013088^2 + 2578713^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331121100032113 is a prime.

It is not a weakly prime, because it can be changed into another prime (331121100062113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165560550016056 + 165560550016057.

It is an arithmetic number, because the mean of its divisors is an integer number (165560550016057).

Almost surely, 2331121100032113 is an apocalyptic number.

It is an amenable number.

331121100032113 is a deficient number, since it is larger than the sum of its proper divisors (1).

331121100032113 is an equidigital number, since it uses as much as digits as its factorization.

331121100032113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 331121100032113 its reverse (311230001121133), we get a palindrome (642351101153246).

The spelling of 331121100032113 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, one hundred million, thirty-two thousand, one hundred thirteen".