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31020132133 is a prime number
BaseRepresentation
bin11100111000111100…
…011010011100100101
32222001211211222120201
4130320330122130211
51002012123212013
622130033030501
72145464526004
oct347074323445
988054758521
1031020132133
1112179068441
1260186b5431
132c04830893
141703b16c3b
15c184853dd
hex738f1a725

31020132133 has 2 divisors, whose sum is σ = 31020132134. Its totient is φ = 31020132132.

The previous prime is 31020132079. The next prime is 31020132137. The reversal of 31020132133 is 33123102013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27112256964 + 3907875169 = 164658^2 + 62513^2 .

It is a cyclic number.

It is not a de Polignac number, because 31020132133 - 29 = 31020131621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31020132133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31020132137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15510066066 + 15510066067.

It is an arithmetic number, because the mean of its divisors is an integer number (15510066067).

Almost surely, 231020132133 is an apocalyptic number.

It is an amenable number.

31020132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31020132133 is an equidigital number, since it uses as much as digits as its factorization.

31020132133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 31020132133 its reverse (33123102013), we get a palindrome (64143234146).

The spelling of 31020132133 in words is "thirty-one billion, twenty million, one hundred thirty-two thousand, one hundred thirty-three".