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3101312232133 is a prime number
BaseRepresentation
bin101101001000010100100…
…111010010101011000101
3101222111000210002220202221
4231020110213102223011
5401302441412412013
610332420112132341
7440030260010203
oct55102447225305
911874023086687
103101312232133
11a962939a4245
1242107b2370b1
131965b616b15b
14aa166340073
1555a13c8808d
hex2d2149d2ac5

3101312232133 has 2 divisors, whose sum is σ = 3101312232134. Its totient is φ = 3101312232132.

The previous prime is 3101312232121. The next prime is 3101312232167. The reversal of 3101312232133 is 3312322131013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2100766157604 + 1000546074529 = 1449402^2 + 1000273^2 .

It is a cyclic number.

It is not a de Polignac number, because 3101312232133 - 25 = 3101312232101 is a prime.

It is a super-2 number, since 2×31013122321332 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3101312232098 and 3101312232107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3101312238133) 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, 1550656116066 + 1550656116067.

It is an arithmetic number, because the mean of its divisors is an integer number (1550656116067).

Almost surely, 23101312232133 is an apocalyptic number.

It is an amenable number.

3101312232133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3101312232133 is an equidigital number, since it uses as much as digits as its factorization.

3101312232133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 3101312232133 its reverse (3312322131013), we get a palindrome (6413634363146).

The spelling of 3101312232133 in words is "three trillion, one hundred one billion, three hundred twelve million, two hundred thirty-two thousand, one hundred thirty-three".