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1131032012101 is a prime number
BaseRepresentation
bin10000011101010110110…
…000101110010101000101
311000010101120021022120021
4100131112300232111011
5122012323143341401
62223331113135141
7144500012323015
oct20352660562505
94003346238507
101131032012101
113a67390a2a92
121632503ba4b1
138286ac08304
143ca569d3c45
151e649ed12a1
hex10756c2e545

1131032012101 has 2 divisors, whose sum is σ = 1131032012102. Its totient is φ = 1131032012100.

The previous prime is 1131032012081. The next prime is 1131032012153. The reversal of 1131032012101 is 1012102301311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 776680877025 + 354351135076 = 881295^2 + 595274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1131032012101 is a prime.

It is a super-2 number, since 2×11310320121012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1131032012191) 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, 565516006050 + 565516006051.

It is an arithmetic number, because the mean of its divisors is an integer number (565516006051).

Almost surely, 21131032012101 is an apocalyptic number.

It is an amenable number.

1131032012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131032012101 is an equidigital number, since it uses as much as digits as its factorization.

1131032012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1131032012101 its reverse (1012102301311), we get a palindrome (2143134313412).

The spelling of 1131032012101 in words is "one trillion, one hundred thirty-one billion, thirty-two million, twelve thousand, one hundred one".