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223131131413 is a prime number
BaseRepresentation
bin1100111111001110100…
…1101101111000010101
3210022221101120220120021
43033303221231320111
512123433032201123
6250301030305141
722056253215631
oct3176351557025
9708841526507
10223131131413
11866a1785633
12372b21b81b1
131806c601a98
14ab2a185dc1
155c0e037c5d
hex33f3a6de15

223131131413 has 2 divisors, whose sum is σ = 223131131414. Its totient is φ = 223131131412.

The previous prime is 223131131317. The next prime is 223131131417. The reversal of 223131131413 is 314131131322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203199903729 + 19931227684 = 450777^2 + 141178^2 .

It is a cyclic number.

It is not a de Polignac number, because 223131131413 - 213 = 223131123221 is a prime.

It is a super-3 number, since 3×2231311314133 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223131131417) 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, 111565565706 + 111565565707.

It is an arithmetic number, because the mean of its divisors is an integer number (111565565707).

Almost surely, 2223131131413 is an apocalyptic number.

It is an amenable number.

223131131413 is a deficient number, since it is larger than the sum of its proper divisors (1).

223131131413 is an equidigital number, since it uses as much as digits as its factorization.

223131131413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

Adding to 223131131413 its reverse (314131131322), we get a palindrome (537262262735).

Subtracting 223131131413 from its reverse (314131131322), we obtain a palindrome (90999999909).

The spelling of 223131131413 in words is "two hundred twenty-three billion, one hundred thirty-one million, one hundred thirty-one thousand, four hundred thirteen".