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133013211101201 is a prime number
BaseRepresentation
bin11110001111100110001101…
…001100101011100000010001
3122102221221100101022001002102
4132033212031030223200101
5114413242024020214301
61150521231533130145
740005613240364564
oct3617461514534021
9572857311261072
10133013211101201
113942264a023862
1212b02a27329955
13592b127129c22
1424bbc338924db
151059ea3a3cb6b
hex78f98d32b811

133013211101201 has 2 divisors, whose sum is σ = 133013211101202. Its totient is φ = 133013211101200.

The previous prime is 133013211101191. The next prime is 133013211101219. The reversal of 133013211101201 is 102101112310331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80311636728976 + 52701574372225 = 8961676^2 + 7259585^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133013211101201 is a prime.

It is not a weakly prime, because it can be changed into another prime (133013211101291) 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, 66506605550600 + 66506605550601.

It is an arithmetic number, because the mean of its divisors is an integer number (66506605550601).

Almost surely, 2133013211101201 is an apocalyptic number.

It is an amenable number.

133013211101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

133013211101201 is an equidigital number, since it uses as much as digits as its factorization.

133013211101201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 133013211101201 its reverse (102101112310331), we get a palindrome (235114323411532).

The spelling of 133013211101201 in words is "one hundred thirty-three trillion, thirteen billion, two hundred eleven million, one hundred one thousand, two hundred one".