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10101540331381 is a prime number
BaseRepresentation
bin1001001011111111001010…
…1110010001111101110101
31022202200211201021112111111
42102333302232101331311
52311000423311101011
633252330014435021
72061545405045662
oct222776256217565
938680751245444
1010101540331381
113245048196964
1211718b5502a71
13583756b0b845
1426ccba990a69
15127b6e4e2121
hex92ff2b91f75

10101540331381 has 2 divisors, whose sum is σ = 10101540331382. Its totient is φ = 10101540331380.

The previous prime is 10101540331367. The next prime is 10101540331459. The reversal of 10101540331381 is 18313304510101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5431766278225 + 4669774053156 = 2330615^2 + 2160966^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10101540331381 is a prime.

It is a super-2 number, since 2×101015403313812 (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 (10101540331301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050770165690 + 5050770165691.

It is an arithmetic number, because the mean of its divisors is an integer number (5050770165691).

Almost surely, 210101540331381 is an apocalyptic number.

It is an amenable number.

10101540331381 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101540331381 is an equidigital number, since it uses as much as digits as its factorization.

10101540331381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

Adding to 10101540331381 its reverse (18313304510101), we get a palindrome (28414844841482).

The spelling of 10101540331381 in words is "ten trillion, one hundred one billion, five hundred forty million, three hundred thirty-one thousand, three hundred eighty-one".