Search a number
-
+
133122101311 is a prime number
BaseRepresentation
bin111101111111010110…
…0100001000000111111
3110201121111201102110201
41323332230201000333
54140113224220221
6141053324344331
712421614122353
oct1737654410077
9421544642421
10133122101311
1151502a57051
12219723a50a7
13c72696a564
14662bdb7463
1536e1ec5891
hex1efeb2103f

133122101311 has 2 divisors, whose sum is σ = 133122101312. Its totient is φ = 133122101310.

The previous prime is 133122101249. The next prime is 133122101369. The reversal of 133122101311 is 113101221331.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 133122101311 - 27 = 133122101183 is a prime.

It is a super-2 number, since 2×1331221013112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133122501311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561050655 + 66561050656.

It is an arithmetic number, because the mean of its divisors is an integer number (66561050656).

Almost surely, 2133122101311 is an apocalyptic number.

133122101311 is a deficient number, since it is larger than the sum of its proper divisors (1).

133122101311 is an equidigital number, since it uses as much as digits as its factorization.

133122101311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 133122101311 its reverse (113101221331), we get a palindrome (246223322642).

The spelling of 133122101311 in words is "one hundred thirty-three billion, one hundred twenty-two million, one hundred one thousand, three hundred eleven".