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20000113211213 is a prime number
BaseRepresentation
bin1001000110000101000111…
…01001001011011101001101
32121210222210021111020020122
410203002203221023131031
510110140212440224323
6110311531500354325
74132650310216502
oct443024351133515
977728707436218
1020000113211213
116411000562323
1222b01a55459a5
13b210058a1915
144d20212cb4a9
1524a3aec99ec8
hex1230a3a4b74d

20000113211213 has 2 divisors, whose sum is σ = 20000113211214. Its totient is φ = 20000113211212.

The previous prime is 20000113211173. The next prime is 20000113211233. The reversal of 20000113211213 is 31211231100002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10628108566084 + 9372004645129 = 3260078^2 + 3061373^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000113211213 - 212 = 20000113207117 is a prime.

It is a super-2 number, since 2×200001132112132 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20000113211191 and 20000113211200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20000113211233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000056605606 + 10000056605607.

It is an arithmetic number, because the mean of its divisors is an integer number (10000056605607).

Almost surely, 220000113211213 is an apocalyptic number.

It is an amenable number.

20000113211213 is a deficient number, since it is larger than the sum of its proper divisors (1).

20000113211213 is an equidigital number, since it uses as much as digits as its factorization.

20000113211213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 20000113211213 its reverse (31211231100002), we get a palindrome (51211344311215).

The spelling of 20000113211213 in words is "twenty trillion, one hundred thirteen million, two hundred eleven thousand, two hundred thirteen".