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1133314131311 is a prime number
BaseRepresentation
bin10000011111011110110…
…010010100010101101111
311000100021121110222120222
4100133132302110111233
5122032011404200221
62224345355001555
7144610403112545
oct20373662242557
94010247428528
101133314131311
113a76aa310a1a
121637887392bb
1382b4295c7cb
143cbd1b29d95
151e73051e9ab
hex107dec9456f

1133314131311 has 2 divisors, whose sum is σ = 1133314131312. Its totient is φ = 1133314131310.

The previous prime is 1133314131283. The next prime is 1133314131337. The reversal of 1133314131311 is 1131314133311.

It is a happy number.

It is an a-pointer prime, because the next prime (1133314131337) can be obtained adding 1133314131311 to its sum of digits (26).

It is a strong prime.

It is an emirp because it is prime and its reverse (1131314133311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1133314131311 - 226 = 1133247022447 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1133314121311) 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, 566657065655 + 566657065656.

It is an arithmetic number, because the mean of its divisors is an integer number (566657065656).

Almost surely, 21133314131311 is an apocalyptic number.

1133314131311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133314131311 is an equidigital number, since it uses as much as digits as its factorization.

1133314131311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 26.

Adding to 1133314131311 its reverse (1131314133311), we get a palindrome (2264628264622).

The spelling of 1133314131311 in words is "one trillion, one hundred thirty-three billion, three hundred fourteen million, one hundred thirty-one thousand, three hundred eleven".