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201033013 is a prime number
BaseRepresentation
bin10111111101110…
…00010100110101
3112000021112110011
423332320110311
5402431024023
631540500221
74660516036
oct1376702465
9460245404
10201033013
11a3529095
12573aa671
133285955c
141c9b0a8d
15129b050d
hexbfb8535

201033013 has 2 divisors, whose sum is σ = 201033014. Its totient is φ = 201033012.

The previous prime is 201033011. The next prime is 201033037. The reversal of 201033013 is 310330102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125395204 + 75637809 = 11198^2 + 8697^2 .

It is a cyclic number.

It is not a de Polignac number, because 201033013 - 21 = 201033011 is a prime.

Together with 201033011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 201032984 and 201033002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201033011) 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, 100516506 + 100516507.

It is an arithmetic number, because the mean of its divisors is an integer number (100516507).

Almost surely, 2201033013 is an apocalyptic number.

It is an amenable number.

201033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

201033013 is an equidigital number, since it uses as much as digits as its factorization.

201033013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 201033013 is about 14178.6111096962. The cubic root of 201033013 is about 585.8086685640.

Adding to 201033013 its reverse (310330102), we get a palindrome (511363115).

The spelling of 201033013 in words is "two hundred one million, thirty-three thousand, thirteen".