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1333131000301 is a prime number
BaseRepresentation
bin10011011001100100110…
…011001011100111101101
311201110001012011122120101
4103121210303023213231
5133320223014002201
62500233143551101
7165213141351112
oct23314463134755
94643035148511
101333131000301
11474417771081
12196452a5b491
139893804c929
144874977a909
1524a2786cd01
hex13664ccb9ed

1333131000301 has 2 divisors, whose sum is σ = 1333131000302. Its totient is φ = 1333131000300.

The previous prime is 1333131000263. The next prime is 1333131000337. The reversal of 1333131000301 is 1030001313331.

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., 1286979071401 + 46151928900 = 1134451^2 + 214830^2 .

It is a cyclic number.

It is not a de Polignac number, because 1333131000301 - 215 = 1333130967533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1333131000001) 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, 666565500150 + 666565500151.

It is an arithmetic number, because the mean of its divisors is an integer number (666565500151).

Almost surely, 21333131000301 is an apocalyptic number.

It is an amenable number.

1333131000301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1333131000301 is an equidigital number, since it uses as much as digits as its factorization.

1333131000301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 1333131000301 its reverse (1030001313331), we get a palindrome (2363132313632).

The spelling of 1333131000301 in words is "one trillion, three hundred thirty-three billion, one hundred thirty-one million, three hundred one", and thus it is an aban number.