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2013213033311 is a prime number
BaseRepresentation
bin11101010010111100110…
…110010000001101011111
321010110110021111111012012
4131102330312100031133
5230441030014031221
64140505102101435
7265310203302044
oct35227466201537
97113407444165
102013213033311
11706887300327
12286210b7a87b
13117acab0478c
146d6236311cb
153757ceb065b
hex1d4bcd9035f

2013213033311 has 2 divisors, whose sum is σ = 2013213033312. Its totient is φ = 2013213033310.

The previous prime is 2013213033301. The next prime is 2013213033341. The reversal of 2013213033311 is 1133303123102.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2013213033311 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013213033301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006606516655 + 1006606516656.

It is an arithmetic number, because the mean of its divisors is an integer number (1006606516656).

Almost surely, 22013213033311 is an apocalyptic number.

2013213033311 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013213033311 is an equidigital number, since it uses as much as digits as its factorization.

2013213033311 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 23.

Adding to 2013213033311 its reverse (1133303123102), we get a palindrome (3146516156413).

The spelling of 2013213033311 in words is "two trillion, thirteen billion, two hundred thirteen million, thirty-three thousand, three hundred eleven".