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131133122221301 is a prime number
BaseRepresentation
bin11101110100001111001111…
…001010110001010011110101
3122012022012111202101020022122
4131310033033022301103311
5114141441113242040201
61142521420311405325
736423025004523044
oct3564171712612365
9565265452336278
10131133122221301
1138868276951332
121285a589383845
135822a53530a75
142454c3c61055b
151026117d0ae1b
hex7743cf2b14f5

131133122221301 has 2 divisors, whose sum is σ = 131133122221302. Its totient is φ = 131133122221300.

The previous prime is 131133122221249. The next prime is 131133122221483. The reversal of 131133122221301 is 103122221331131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120285485940676 + 10847636280625 = 10967474^2 + 3293575^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131133122221301 is a prime.

It is a super-2 number, since 2×1311331222213012 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131133122221901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65566561110650 + 65566561110651.

It is an arithmetic number, because the mean of its divisors is an integer number (65566561110651).

Almost surely, 2131133122221301 is an apocalyptic number.

It is an amenable number.

131133122221301 is a deficient number, since it is larger than the sum of its proper divisors (1).

131133122221301 is an equidigital number, since it uses as much as digits as its factorization.

131133122221301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 131133122221301 its reverse (103122221331131), we get a palindrome (234255343552432).

The spelling of 131133122221301 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred one".