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133222311120401 is a prime number
BaseRepresentation
bin11110010010101000111100…
…100001111100111000010001
3122110200221001220212121010222
4132102220330201330320101
5114430203243121323101
61151201252420202425
740026665030255036
oct3622507441747021
9573627056777128
10133222311120401
11394a32a0590088
1212b37462539415
135944a6b848839
1424c7dcc38338d
151060640d4901b
hex792a3c87ce11

133222311120401 has 2 divisors, whose sum is σ = 133222311120402. Its totient is φ = 133222311120400.

The previous prime is 133222311120373. The next prime is 133222311120419. The reversal of 133222311120401 is 104021113222331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128438362294225 + 4783948826176 = 11333065^2 + 2187224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133222311120401 is a prime.

It is not a weakly prime, because it can be changed into another prime (133222310120401) 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, 66611155560200 + 66611155560201.

It is an arithmetic number, because the mean of its divisors is an integer number (66611155560201).

Almost surely, 2133222311120401 is an apocalyptic number.

It is an amenable number.

133222311120401 is a deficient number, since it is larger than the sum of its proper divisors (1).

133222311120401 is an equidigital number, since it uses as much as digits as its factorization.

133222311120401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 133222311120401 its reverse (104021113222331), we get a palindrome (237243424342732).

The spelling of 133222311120401 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, three hundred eleven million, one hundred twenty thousand, four hundred one".