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132333301133101 is a prime number
BaseRepresentation
bin11110000101101100111111…
…011001111110111100101101
3122100112221101021202000011001
4132011230333121332330231
5114321122100042224401
61145241025043000301
736605523365122615
oct3605547731767455
9570487337660131
10132333301133101
1139190268627512
1212a130b6969091
1358abc90bcb233
142496d747cba45
15104745d587601
hex785b3f67ef2d

132333301133101 has 2 divisors, whose sum is σ = 132333301133102. Its totient is φ = 132333301133100.

The previous prime is 132333301133093. The next prime is 132333301133113. The reversal of 132333301133101 is 101331103333231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95172706922500 + 37160594210601 = 9755650^2 + 6095949^2 .

It is a cyclic number.

It is not a de Polignac number, because 132333301133101 - 23 = 132333301133093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132333301133101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132333301133141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66166650566550 + 66166650566551.

It is an arithmetic number, because the mean of its divisors is an integer number (66166650566551).

Almost surely, 2132333301133101 is an apocalyptic number.

It is an amenable number.

132333301133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

132333301133101 is an equidigital number, since it uses as much as digits as its factorization.

132333301133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 132333301133101 its reverse (101331103333231), we get a palindrome (233664404466332).

The spelling of 132333301133101 in words is "one hundred thirty-two trillion, three hundred thirty-three billion, three hundred one million, one hundred thirty-three thousand, one hundred one".