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1333012313117 is a prime number
BaseRepresentation
bin10011011001011101101…
…110011011010000011101
311201102201220211201100202
4103121131232123100131
5133320002123004432
62500213304033245
7165210200465252
oct23313556332035
94642656751322
101333012313117
114743667766a1
1219641b162825
1398919595424
1448737ac3429
1524a1c226462
hex1365db9b41d

1333012313117 has 2 divisors, whose sum is σ = 1333012313118. Its totient is φ = 1333012313116.

The previous prime is 1333012312997. The next prime is 1333012313197. The reversal of 1333012313117 is 7113132103331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1094327302201 + 238685010916 = 1046101^2 + 488554^2 .

It is a cyclic number.

It is not a de Polignac number, because 1333012313117 - 28 = 1333012312861 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1333012313117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1333012313197) 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, 666506156558 + 666506156559.

It is an arithmetic number, because the mean of its divisors is an integer number (666506156559).

Almost surely, 21333012313117 is an apocalyptic number.

It is an amenable number.

1333012313117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1333012313117 is an equidigital number, since it uses as much as digits as its factorization.

1333012313117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 29.

Adding to 1333012313117 its reverse (7113132103331), we get a palindrome (8446144416448).

The spelling of 1333012313117 in words is "one trillion, three hundred thirty-three billion, twelve million, three hundred thirteen thousand, one hundred seventeen".