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1312233110101 is a prime number
BaseRepresentation
bin10011000110000111001…
…100000011101001010101
311122110002210002211112001
4103012013030003221111
5132444423134010401
62442455341355301
7163543234253404
oct23060714035125
94573083084461
101312233110101
11466573420941
121923a0268b31
1396987639a24
144772612763b
1524202d90601
hex13187303a55

1312233110101 has 2 divisors, whose sum is σ = 1312233110102. Its totient is φ = 1312233110100.

The previous prime is 1312233109961. The next prime is 1312233110141. The reversal of 1312233110101 is 1010113322131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1239804306225 + 72428803876 = 1113465^2 + 269126^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312233110101 - 219 = 1312232585813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1312233110141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656116555050 + 656116555051.

It is an arithmetic number, because the mean of its divisors is an integer number (656116555051).

Almost surely, 21312233110101 is an apocalyptic number.

It is an amenable number.

1312233110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312233110101 is an equidigital number, since it uses as much as digits as its factorization.

1312233110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1312233110101 its reverse (1010113322131), we get a palindrome (2322346432232).

The spelling of 1312233110101 in words is "one trillion, three hundred twelve billion, two hundred thirty-three million, one hundred ten thousand, one hundred one".