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132033012313 is a prime number
BaseRepresentation
bin111101011110111000…
…1111110001001011001
3110121210121101222020011
41322331301332021121
54130400422343223
6140353301401521
712352621041646
oct1727561761131
9417717358204
10132033012313
1150aa42143a4
12217097092a1
13c5b2139cb7
1465674b8dcd
15367b59780d
hex1ebdc7e259

132033012313 has 2 divisors, whose sum is σ = 132033012314. Its totient is φ = 132033012312.

The previous prime is 132033012263. The next prime is 132033012329. The reversal of 132033012313 is 313210330231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92594229849 + 39438782464 = 304293^2 + 198592^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132033012313 is a prime.

It is not a weakly prime, because it can be changed into another prime (132033010313) 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, 66016506156 + 66016506157.

It is an arithmetic number, because the mean of its divisors is an integer number (66016506157).

Almost surely, 2132033012313 is an apocalyptic number.

It is an amenable number.

132033012313 is a deficient number, since it is larger than the sum of its proper divisors (1).

132033012313 is an equidigital number, since it uses as much as digits as its factorization.

132033012313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 132033012313 its reverse (313210330231), we get a palindrome (445243342544).

The spelling of 132033012313 in words is "one hundred thirty-two billion, thirty-three million, twelve thousand, three hundred thirteen".