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11313221331001 is a prime number
BaseRepresentation
bin1010010010100001000010…
…0010011110100000111001
31111001112101211211220120111
42210220100202132200321
52440323434130043001
640021115551424321
72245232112442342
oct244502042364071
944045354756514
1011313221331001
113671a01562947
1213286b2b250a1
13640aa8439b35
142b17c45b90c9
15149439939851
hexa4a1089e839

11313221331001 has 2 divisors, whose sum is σ = 11313221331002. Its totient is φ = 11313221331000.

The previous prime is 11313221330881. The next prime is 11313221331007. The reversal of 11313221331001 is 10013312231311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7699709277225 + 3613512053776 = 2774835^2 + 1900924^2 .

It is a cyclic number.

It is not a de Polignac number, because 11313221331001 - 211 = 11313221328953 is a prime.

It is not a weakly prime, because it can be changed into another prime (11313221331007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5656610665500 + 5656610665501.

It is an arithmetic number, because the mean of its divisors is an integer number (5656610665501).

Almost surely, 211313221331001 is an apocalyptic number.

It is an amenable number.

11313221331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11313221331001 is an equidigital number, since it uses as much as digits as its factorization.

11313221331001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11313221331001 its reverse (10013312231311), we get a palindrome (21326533562312).

The spelling of 11313221331001 in words is "eleven trillion, three hundred thirteen billion, two hundred twenty-one million, three hundred thirty-one thousand, one".