Search a number
-
+
133311012100601 is a prime number
BaseRepresentation
bin11110010011111011100011…
…100001010101100111111001
3122111000102000122102021002212
4132103323203201111213321
5114433131423044204401
61151310122234104505
740036255104202616
oct3623734341254771
9574012018367085
10133311012100601
1139527978a13395
1212b5069827b135
1359502364b703a
1424cc40493750d
151062ad312adbb
hex793ee38559f9

133311012100601 has 2 divisors, whose sum is σ = 133311012100602. Its totient is φ = 133311012100600.

The previous prime is 133311012100571. The next prime is 133311012100691. The reversal of 133311012100601 is 106001210113331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124929263334976 + 8381748765625 = 11177176^2 + 2895125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133311012100601 is a prime.

It is a super-2 number, since 2×1333110121006012 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133311012100691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66655506050300 + 66655506050301.

It is an arithmetic number, because the mean of its divisors is an integer number (66655506050301).

Almost surely, 2133311012100601 is an apocalyptic number.

It is an amenable number.

133311012100601 is a deficient number, since it is larger than the sum of its proper divisors (1).

133311012100601 is an equidigital number, since it uses as much as digits as its factorization.

133311012100601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 133311012100601 its reverse (106001210113331), we get a palindrome (239312222213932).

The spelling of 133311012100601 in words is "one hundred thirty-three trillion, three hundred eleven billion, twelve million, one hundred thousand, six hundred one".