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10031321140133 is a prime number
BaseRepresentation
bin1001000111111001100101…
…0101010100101110100101
31022111222121000111000202112
42101332121111110232211
52303323121202441013
633200154133450405
72053511326551536
oct221763125245645
938458530430675
1010031321140133
1132182942a41a7
1211601791a0a05
13579c4614a937
14269738bdc68d
15125e0ea35ba8
hex91f99554ba5

10031321140133 has 2 divisors, whose sum is σ = 10031321140134. Its totient is φ = 10031321140132.

The previous prime is 10031321140081. The next prime is 10031321140147. The reversal of 10031321140133 is 33104112313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9168499370209 + 862821769924 = 3027953^2 + 928882^2 .

It is an emirp because it is prime and its reverse (33104112313001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10031321140133 - 26 = 10031321140069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031321140099 and 10031321140108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031321140033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015660570066 + 5015660570067.

It is an arithmetic number, because the mean of its divisors is an integer number (5015660570067).

Almost surely, 210031321140133 is an apocalyptic number.

It is an amenable number.

10031321140133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031321140133 is an equidigital number, since it uses as much as digits as its factorization.

10031321140133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10031321140133 its reverse (33104112313001), we get a palindrome (43135433453134).

The spelling of 10031321140133 in words is "ten trillion, thirty-one billion, three hundred twenty-one million, one hundred forty thousand, one hundred thirty-three".