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10131211201 is a prime number
BaseRepresentation
bin10010110111101111…
…00000001111000001
3222011001122212001111
421123313200033001
5131222042224301
64353151003321
7506026605616
oct113367401701
928131585044
1010131211201
114329893a21
121b68b09541
13c55c3b337
146c175a50d
153e467a551
hex25bde03c1

10131211201 has 2 divisors, whose sum is σ = 10131211202. Its totient is φ = 10131211200.

The previous prime is 10131211193. The next prime is 10131211249. The reversal of 10131211201 is 10211213101.

It is a happy number.

10131211201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8623908225 + 1507302976 = 92865^2 + 38824^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131211201 - 23 = 10131211193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10131211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065605600 + 5065605601.

It is an arithmetic number, because the mean of its divisors is an integer number (5065605601).

Almost surely, 210131211201 is an apocalyptic number.

It is an amenable number.

10131211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131211201 is an equidigital number, since it uses as much as digits as its factorization.

10131211201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10131211201 its reverse (10211213101), we get a palindrome (20342424302).

The spelling of 10131211201 in words is "ten billion, one hundred thirty-one million, two hundred eleven thousand, two hundred one".