Search a number
-
+
132003212132513 is a prime number
BaseRepresentation
bin11110000000111001100100…
…100100011000000010100001
3122022101101100211001101011202
4132000321210210120002201
5114300220034301220023
61144425234414050545
736542626436660411
oct3600714444300241
9568341324041152
10132003212132513
113907327aa28787
121297b1347a9a55
135886b07445487
142484dbd4b4641
15103da8e56e128
hex780e649180a1

132003212132513 has 2 divisors, whose sum is σ = 132003212132514. Its totient is φ = 132003212132512.

The previous prime is 132003212132471. The next prime is 132003212132563. The reversal of 132003212132513 is 315231212300231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129080319267904 + 2922892864609 = 11361352^2 + 1709647^2 .

It is a cyclic number.

It is not a de Polignac number, because 132003212132513 - 238 = 131728334225569 is a prime.

It is not a weakly prime, because it can be changed into another prime (132003212132563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66001606066256 + 66001606066257.

It is an arithmetic number, because the mean of its divisors is an integer number (66001606066257).

Almost surely, 2132003212132513 is an apocalyptic number.

It is an amenable number.

132003212132513 is a deficient number, since it is larger than the sum of its proper divisors (1).

132003212132513 is an equidigital number, since it uses as much as digits as its factorization.

132003212132513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 132003212132513 its reverse (315231212300231), we get a palindrome (447234424432744).

The spelling of 132003212132513 in words is "one hundred thirty-two trillion, three billion, two hundred twelve million, one hundred thirty-two thousand, five hundred thirteen".