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12131132310109 is a prime number
BaseRepresentation
bin1011000010000111111111…
…0101010000001001011101
31120221201120110122122212201
42300201333311100021131
53042224024332410414
641444544254331501
72361305524162351
oct260417765201135
946851513578781
1012131132310109
113957869a2730a
12143b1177b9b91
1369cc650486a7
142dd2155d7461
1516085a39d574
hexb087fd5025d

12131132310109 has 2 divisors, whose sum is σ = 12131132310110. Its totient is φ = 12131132310108.

The previous prime is 12131132309977. The next prime is 12131132310139. The reversal of 12131132310109 is 90101323113121.

12131132310109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11759776138009 + 371356172100 = 3429253^2 + 609390^2 .

It is a cyclic number.

It is not a de Polignac number, because 12131132310109 - 213 = 12131132301917 is a prime.

It is a super-2 number, since 2×121311323101092 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12131132310139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065566155054 + 6065566155055.

It is an arithmetic number, because the mean of its divisors is an integer number (6065566155055).

Almost surely, 212131132310109 is an apocalyptic number.

It is an amenable number.

12131132310109 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131132310109 is an equidigital number, since it uses as much as digits as its factorization.

12131132310109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 12131132310109 in words is "twelve trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred ten thousand, one hundred nine".