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1010131332433 is a prime number
BaseRepresentation
bin11101011001100001000…
…01001110110101010001
310120120022210022102211121
432230300201032311101
5113022222110114213
62052014204042241
7132656665441246
oct16546041166521
93516283272747
101010131332433
1135a437891a03
1214392ab33381
137434124a0c2
1436c67bd55cd
151b420e1788d
hexeb3084ed51

1010131332433 has 2 divisors, whose sum is σ = 1010131332434. Its totient is φ = 1010131332432.

The previous prime is 1010131332391. The next prime is 1010131332473. The reversal of 1010131332433 is 3342331310101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 848228106049 + 161903226384 = 920993^2 + 402372^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010131332433 - 229 = 1009594461521 is a prime.

It is a super-4 number, since 4×10101313324334 (a number of 49 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010131332398 and 1010131332407.

It is not a weakly prime, because it can be changed into another prime (1010131332473) 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, 505065666216 + 505065666217.

It is an arithmetic number, because the mean of its divisors is an integer number (505065666217).

Almost surely, 21010131332433 is an apocalyptic number.

It is an amenable number.

1010131332433 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010131332433 is an equidigital number, since it uses as much as digits as its factorization.

1010131332433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1010131332433 its reverse (3342331310101), we get a palindrome (4352462642534).

The spelling of 1010131332433 in words is "one trillion, ten billion, one hundred thirty-one million, three hundred thirty-two thousand, four hundred thirty-three".