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2013133019 is a prime number
BaseRepresentation
bin111011111111101…
…1111100011011011
312012022001202100012
41313333133203123
513110330224034
6531432232135
7100613230322
oct16777374333
95168052305
102013133019
119433a76a7
1248223b64b
132610c4c91
141515170b9
15bbb08cce
hex77fdf8db

2013133019 has 2 divisors, whose sum is σ = 2013133020. Its totient is φ = 2013133018.

The previous prime is 2013132949. The next prime is 2013133027. The reversal of 2013133019 is 9103313102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2013133019 - 220 = 2012084443 is a prime.

It is a super-2 number, since 2×20131330192 = 8105409104376108722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013132985 and 2013133003.

It is not a weakly prime, because it can be changed into another prime (2013133819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006566509 + 1006566510.

It is an arithmetic number, because the mean of its divisors is an integer number (1006566510).

Almost surely, 22013133019 is an apocalyptic number.

2013133019 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013133019 is an equidigital number, since it uses as much as digits as its factorization.

2013133019 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 2013133019 is about 44867.9509115360. The cubic root of 2013133019 is about 1262.6727967125.

The spelling of 2013133019 in words is "two billion, thirteen million, one hundred thirty-three thousand, nineteen".