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1031213013113 is a prime number
BaseRepresentation
bin11110000000110010001…
…01011101100001111001
310122120202000012210000202
433000121011131201321
5113343411012404423
62105422133411545
7134334263662163
oct17003105354171
93576660183022
101031213013113
113683759536a8
12147a33199bb5
1376320a6027a
1437ca7a0b933
151bc56aeb728
hexf01915d879

1031213013113 has 2 divisors, whose sum is σ = 1031213013114. Its totient is φ = 1031213013112.

The previous prime is 1031213013073. The next prime is 1031213013157. The reversal of 1031213013113 is 3113103121301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 978649197289 + 52563815824 = 989267^2 + 229268^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031213013113 - 26 = 1031213013049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1031213013163) 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, 515606506556 + 515606506557.

It is an arithmetic number, because the mean of its divisors is an integer number (515606506557).

Almost surely, 21031213013113 is an apocalyptic number.

It is an amenable number.

1031213013113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031213013113 is an equidigital number, since it uses as much as digits as its factorization.

1031213013113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1031213013113 its reverse (3113103121301), we get a palindrome (4144316134414).

The spelling of 1031213013113 in words is "one trillion, thirty-one billion, two hundred thirteen million, thirteen thousand, one hundred thirteen".