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33231132133 is a prime number
BaseRepresentation
bin11110111100101110…
…101101010111100101
310011202221020102101121
4132330232231113211
51021024132212013
623133254253541
72254332651103
oct367456552745
9104687212347
1033231132133
1113103120471
1265350572b1
133197913cc4
141873618c73
15ce762658d
hex7bcbad5e5

33231132133 has 2 divisors, whose sum is σ = 33231132134. Its totient is φ = 33231132132.

The previous prime is 33231132131. The next prime is 33231132139. The reversal of 33231132133 is 33123113233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24056940609 + 9174191524 = 155103^2 + 95782^2 .

It is a cyclic number.

It is not a de Polignac number, because 33231132133 - 21 = 33231132131 is a prime.

It is a super-2 number, since 2×332311321332 (a number of 22 digits) contains 22 as substring.

Together with 33231132131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 33231132098 and 33231132107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33231132131) 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, 16615566066 + 16615566067.

It is an arithmetic number, because the mean of its divisors is an integer number (16615566067).

Almost surely, 233231132133 is an apocalyptic number.

It is an amenable number.

33231132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33231132133 is an equidigital number, since it uses as much as digits as its factorization.

33231132133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 25.

Adding to 33231132133 its reverse (33123113233), we get a palindrome (66354245366).

The spelling of 33231132133 in words is "thirty-three billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred thirty-three".