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2013213033301 is a prime number
BaseRepresentation
bin11101010010111100110…
…110010000001101010101
321010110110021111111011211
4131102330312100031111
5230441030014031201
64140505102101421
7265310203302031
oct35227466201525
97113407444154
102013213033301
11706887300318
12286210b7a871
13117acab04782
146d6236311c1
153757ceb0651
hex1d4bcd90355

2013213033301 has 2 divisors, whose sum is σ = 2013213033302. Its totient is φ = 2013213033300.

The previous prime is 2013213033287. The next prime is 2013213033311. The reversal of 2013213033301 is 1033303123102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2012567822500 + 645210801 = 1418650^2 + 25401^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2013213033301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013213033311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006606516650 + 1006606516651.

It is an arithmetic number, because the mean of its divisors is an integer number (1006606516651).

Almost surely, 22013213033301 is an apocalyptic number.

It is an amenable number.

2013213033301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013213033301 is an equidigital number, since it uses as much as digits as its factorization.

2013213033301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2013213033301 its reverse (1033303123102), we get a palindrome (3046516156403).

The spelling of 2013213033301 in words is "two trillion, thirteen billion, two hundred thirteen million, thirty-three thousand, three hundred one".