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133021022342101 is a prime number
BaseRepresentation
bin11110001111101101011110…
…110010001100101111010101
3122102222200111202112012011221
4132033231132302030233111
5114413404023204421401
61150525003011130341
740006310640005635
oct3617553662145725
9572880452465157
10133021022342101
1139425998296753
1212b044472a39b1
13592baa052036a
1424bc3750626c5
15105a2ae69e7a1
hex78fb5ec8cbd5

133021022342101 has 2 divisors, whose sum is σ = 133021022342102. Its totient is φ = 133021022342100.

The previous prime is 133021022342081. The next prime is 133021022342149. The reversal of 133021022342101 is 101243220120331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131775499381201 + 1245522960900 = 11479351^2 + 1116030^2 .

It is a cyclic number.

It is not a de Polignac number, because 133021022342101 - 27 = 133021022341973 is a prime.

It is a super-2 number, since 2×1330210223421012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133021022342161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66510511171050 + 66510511171051.

It is an arithmetic number, because the mean of its divisors is an integer number (66510511171051).

Almost surely, 2133021022342101 is an apocalyptic number.

It is an amenable number.

133021022342101 is a deficient number, since it is larger than the sum of its proper divisors (1).

133021022342101 is an equidigital number, since it uses as much as digits as its factorization.

133021022342101 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 25.

Adding to 133021022342101 its reverse (101243220120331), we get a palindrome (234264242462432).

The spelling of 133021022342101 in words is "one hundred thirty-three trillion, twenty-one billion, twenty-two million, three hundred forty-two thousand, one hundred one".