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1035332135113 is a prime number
BaseRepresentation
bin11110001000011101001…
…10101010100011001001
310122222101002001212010211
433010032212222203021
5113430330011310423
62111343000441121
7134541331642213
oct17041646524311
93588332055124
101035332135113
1136a099aa9a61
121487a27791a1
137682925c073
1438178acd5b3
151bde855210d
hexf10e9aa8c9

1035332135113 has 2 divisors, whose sum is σ = 1035332135114. Its totient is φ = 1035332135112.

The previous prime is 1035332135107. The next prime is 1035332135251. The reversal of 1035332135113 is 3115312335301.

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., 806840487049 + 228491648064 = 898243^2 + 478008^2 .

It is a cyclic number.

It is not a de Polignac number, because 1035332135113 - 25 = 1035332135081 is a prime.

It is not a weakly prime, because it can be changed into another prime (1035332132113) 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, 517666067556 + 517666067557.

It is an arithmetic number, because the mean of its divisors is an integer number (517666067557).

Almost surely, 21035332135113 is an apocalyptic number.

It is an amenable number.

1035332135113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035332135113 is an equidigital number, since it uses as much as digits as its factorization.

1035332135113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12150, while the sum is 31.

The spelling of 1035332135113 in words is "one trillion, thirty-five billion, three hundred thirty-two million, one hundred thirty-five thousand, one hundred thirteen".