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132313213013 is a prime number
BaseRepresentation
bin111101100111001111…
…0110110100001010101
3110122112010122122022212
41323032132312201111
54131434140304023
6140441151203205
712362562516422
oct1731636664125
9418463578285
10132313213013
11511283a5323
1221787516505
13c6281c4b27
1465927b6d49
153695e94e78
hex1ece7b6855

132313213013 has 2 divisors, whose sum is σ = 132313213014. Its totient is φ = 132313213012.

The previous prime is 132313213007. The next prime is 132313213027. The reversal of 132313213013 is 310312313231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131085271249 + 1227941764 = 362057^2 + 35042^2 .

It is a cyclic number.

It is not a de Polignac number, because 132313213013 - 26 = 132313212949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132313213013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132313213093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66156606506 + 66156606507.

It is an arithmetic number, because the mean of its divisors is an integer number (66156606507).

Almost surely, 2132313213013 is an apocalyptic number.

It is an amenable number.

132313213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

132313213013 is an equidigital number, since it uses as much as digits as its factorization.

132313213013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 132313213013 its reverse (310312313231), we get a palindrome (442625526244).

The spelling of 132313213013 in words is "one hundred thirty-two billion, three hundred thirteen million, two hundred thirteen thousand, thirteen".