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133321111111381 is a prime number
BaseRepresentation
bin11110010100000100111101…
…011110000000011011010101
3122111001101002110111011111011
4132110010331132000123111
5114433313113421031011
61151314512315012221
740040063263320004
oct3624047536003325
9574041073434434
10133321111111381
1139531190603696
1212b5263643a071
13595118585c96b
1424ccac1cb0c3b
151062ec4a45621
hex79413d7806d5

133321111111381 has 2 divisors, whose sum is σ = 133321111111382. Its totient is φ = 133321111111380.

The previous prime is 133321111111379. The next prime is 133321111111399. The reversal of 133321111111381 is 183111111123331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81683003758225 + 51638107353156 = 9037865^2 + 7185966^2 .

It is a cyclic number.

It is not a de Polignac number, because 133321111111381 - 21 = 133321111111379 is a prime.

It is a super-2 number, since 2×1333211111113812 (a number of 29 digits) contains 22 as substring.

Together with 133321111111379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133321111141381) 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, 66660555555690 + 66660555555691.

It is an arithmetic number, because the mean of its divisors is an integer number (66660555555691).

Almost surely, 2133321111111381 is an apocalyptic number.

It is an amenable number.

133321111111381 is a deficient number, since it is larger than the sum of its proper divisors (1).

133321111111381 is an equidigital number, since it uses as much as digits as its factorization.

133321111111381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 31.

The spelling of 133321111111381 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, one hundred eleven million, one hundred eleven thousand, three hundred eighty-one".