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133002111311 is a prime number
BaseRepresentation
bin111101111011110001…
…0110010100101001111
3110201022010221022010122
41323313202302211033
54134342020030221
6141033400455155
712415626202316
oct1736742624517
9421263838118
10133002111311
1151451251863
122193a17a4bb
13c707b48064
14661a0a127d
1536d66c2eab
hex1ef78b294f

133002111311 has 2 divisors, whose sum is σ = 133002111312. Its totient is φ = 133002111310.

The previous prime is 133002111269. The next prime is 133002111343. The reversal of 133002111311 is 113111200331.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133002111311 is a prime.

It is a super-2 number, since 2×1330021113112 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133002111311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133002111211) 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, 66501055655 + 66501055656.

It is an arithmetic number, because the mean of its divisors is an integer number (66501055656).

Almost surely, 2133002111311 is an apocalyptic number.

133002111311 is a deficient number, since it is larger than the sum of its proper divisors (1).

133002111311 is an equidigital number, since it uses as much as digits as its factorization.

133002111311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 133002111311 its reverse (113111200331), we get a palindrome (246113311642).

The spelling of 133002111311 in words is "one hundred thirty-three billion, two million, one hundred eleven thousand, three hundred eleven".