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1333011112313 is a prime number
BaseRepresentation
bin10011011001011101101…
…001110110000101111001
311201102201211120201011112
4103121131221312011321
5133320001321043223
62500213222210105
7165210154334336
oct23313551660571
94642654521145
101333011112313
114743660264a1
1219641a883935
13989192649aa
144873788d98d
1524a1c08a778
hex1365da76179

1333011112313 has 2 divisors, whose sum is σ = 1333011112314. Its totient is φ = 1333011112312.

The previous prime is 1333011112253. The next prime is 1333011112327. The reversal of 1333011112313 is 3132111103331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 798435176704 + 534575935609 = 893552^2 + 731147^2 .

It is a cyclic number.

It is not a de Polignac number, because 1333011112313 - 26 = 1333011112249 is a prime.

It is not a weakly prime, because it can be changed into another prime (1333011112373) 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, 666505556156 + 666505556157.

It is an arithmetic number, because the mean of its divisors is an integer number (666505556157).

Almost surely, 21333011112313 is an apocalyptic number.

It is an amenable number.

1333011112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1333011112313 is an equidigital number, since it uses as much as digits as its factorization.

1333011112313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1333011112313 its reverse (3132111103331), we get a palindrome (4465122215644).

The spelling of 1333011112313 in words is "one trillion, three hundred thirty-three billion, eleven million, one hundred twelve thousand, three hundred thirteen".