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132011331313 is a prime number
BaseRepresentation
bin111101011110001111…
…1010000111011110001
3110121202002121110111011
41322330133100323301
54130324400100223
6140351204550521
712352235542021
oct1727437207361
9417662543434
10132011331313
1150a92a56114
12217023b2441
13c5aa7b86c4
146564673a81
15367971380d
hex1ebc7d0ef1

132011331313 has 2 divisors, whose sum is σ = 132011331314. Its totient is φ = 132011331312.

The previous prime is 132011331307. The next prime is 132011331341. The reversal of 132011331313 is 313133110231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131919324849 + 92006464 = 363207^2 + 9592^2 .

It is an emirp because it is prime and its reverse (313133110231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 132011331313 - 217 = 132011200241 is a prime.

It is not a weakly prime, because it can be changed into another prime (132011331343) 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, 66005665656 + 66005665657.

It is an arithmetic number, because the mean of its divisors is an integer number (66005665657).

Almost surely, 2132011331313 is an apocalyptic number.

It is an amenable number.

132011331313 is a deficient number, since it is larger than the sum of its proper divisors (1).

132011331313 is an equidigital number, since it uses as much as digits as its factorization.

132011331313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 132011331313 its reverse (313133110231), we get a palindrome (445144441544).

The spelling of 132011331313 in words is "one hundred thirty-two billion, eleven million, three hundred thirty-one thousand, three hundred thirteen".