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31130132101 is a prime number
BaseRepresentation
bin11100111111100000…
…000001111010000101
32222100111211120011121
4130333200001322011
51002223303211401
622145002433541
72151301520425
oct347740017205
988314746147
1031130132101
111222516a002
1260495028b1
132c21565c13
14171458c485
15c22e62ca1
hex73f801e85

31130132101 has 2 divisors, whose sum is σ = 31130132102. Its totient is φ = 31130132100.

The previous prime is 31130132071. The next prime is 31130132113. The reversal of 31130132101 is 10123103113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18002930625 + 13127201476 = 134175^2 + 114574^2 .

It is an emirp because it is prime and its reverse (10123103113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31130132101 - 225 = 31096577669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31130132401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565066050 + 15565066051.

It is an arithmetic number, because the mean of its divisors is an integer number (15565066051).

Almost surely, 231130132101 is an apocalyptic number.

It is an amenable number.

31130132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31130132101 is an equidigital number, since it uses as much as digits as its factorization.

31130132101 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 16.

Adding to 31130132101 its reverse (10123103113), we get a palindrome (41253235214).

The spelling of 31130132101 in words is "thirty-one billion, one hundred thirty million, one hundred thirty-two thousand, one hundred one".