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20311132013 is a prime number
BaseRepresentation
bin10010111010101000…
…110100011101101101
31221102111222102010122
4102322220310131231
5313044122211023
613155242014325
71316220526214
oct227250643555
957374872118
1020311132013
118683117117
123b2a1a73a5
131bb8ca2613
14da975607b
157dd2282c8
hex4baa3476d

20311132013 has 2 divisors, whose sum is σ = 20311132014. Its totient is φ = 20311132012.

The previous prime is 20311131977. The next prime is 20311132033. The reversal of 20311132013 is 31023111302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15416450569 + 4894681444 = 124163^2 + 69962^2 .

It is a cyclic number.

It is not a de Polignac number, because 20311132013 - 210 = 20311130989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20311131982 and 20311132000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20311132033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10155566006 + 10155566007.

It is an arithmetic number, because the mean of its divisors is an integer number (10155566007).

Almost surely, 220311132013 is an apocalyptic number.

It is an amenable number.

20311132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20311132013 is an equidigital number, since it uses as much as digits as its factorization.

20311132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 20311132013 its reverse (31023111302), we get a palindrome (51334243315).

The spelling of 20311132013 in words is "twenty billion, three hundred eleven million, one hundred thirty-two thousand, thirteen".