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1013100013 is a prime number
BaseRepresentation
bin111100011000101…
…010110111101101
32121121022210221201
4330120222313231
54033323200023
6244310125501
734051131232
oct7430526755
92547283851
101013100013
1147a961042
12243350891
13131b75a83
149879b789
155de1cbad
hex3c62aded

1013100013 has 2 divisors, whose sum is σ = 1013100014. Its totient is φ = 1013100012.

The previous prime is 1013099987. The next prime is 1013100019. The reversal of 1013100013 is 3100013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 967645449 + 45454564 = 31107^2 + 6742^2 .

It is an emirp because it is prime and its reverse (3100013101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013100013 - 25 = 1013099981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506550006 + 506550007.

It is an arithmetic number, because the mean of its divisors is an integer number (506550007).

Almost surely, 21013100013 is an apocalyptic number.

It is an amenable number.

1013100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013100013 is an equidigital number, since it uses as much as digits as its factorization.

1013100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1013100013 is about 31829.2320516848. The cubic root of 1013100013 is about 1004.3477407554.

Adding to 1013100013 its reverse (3100013101), we get a palindrome (4113113114).

It can be divided in two parts, 101 and 3100013, that multiplied together give a palindrome (313101313).

The spelling of 1013100013 in words is "one billion, thirteen million, one hundred thousand, thirteen".