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101201023013 is a prime number
BaseRepresentation
bin101111001000000001…
…1010001000000100101
3100200012212120122002112
41132100003101000211
53124224430214023
6114254025050405
710211566334216
oct1362003210045
9320185518075
10101201023013
1139a12380502
1217744026a05
13970a5a174c
144c8077940d
1529748c8478
hex17900d1025

101201023013 has 2 divisors, whose sum is σ = 101201023014. Its totient is φ = 101201023012.

The previous prime is 101201022997. The next prime is 101201023037. The reversal of 101201023013 is 310320102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61386008644 + 39815014369 = 247762^2 + 199537^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201023013 - 24 = 101201022997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201023213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600511506 + 50600511507.

It is an arithmetic number, because the mean of its divisors is an integer number (50600511507).

Almost surely, 2101201023013 is an apocalyptic number.

It is an amenable number.

101201023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201023013 is an equidigital number, since it uses as much as digits as its factorization.

101201023013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101201023013 its reverse (310320102101), we get a palindrome (411521125114).

The spelling of 101201023013 in words is "one hundred one billion, two hundred one million, twenty-three thousand, thirteen".