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3133213110101 is a prime number
BaseRepresentation
bin101101100110000010000…
…011011110111101010101
3102002112101000020102111202
4231212002003132331111
5402313310024010401
610355213410442245
7442236641003264
oct55460203367525
912075330212452
103133213110101
11aa8874132aa8
124272a2893385
131995cb2b35c9
14ab9110005db
155677e6e506b
hex2d9820def55

3133213110101 has 2 divisors, whose sum is σ = 3133213110102. Its totient is φ = 3133213110100.

The previous prime is 3133213110091. The next prime is 3133213110113. The reversal of 3133213110101 is 1010113123313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3088451245201 + 44761864900 = 1757399^2 + 211570^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133213110101 - 26 = 3133213110037 is a prime.

It is a super-2 number, since 2×31332131101012 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3133213410101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566606555050 + 1566606555051.

It is an arithmetic number, because the mean of its divisors is an integer number (1566606555051).

Almost surely, 23133213110101 is an apocalyptic number.

It is an amenable number.

3133213110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133213110101 is an equidigital number, since it uses as much as digits as its factorization.

3133213110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 3133213110101 its reverse (1010113123313), we get a palindrome (4143326233414).

The spelling of 3133213110101 in words is "three trillion, one hundred thirty-three billion, two hundred thirteen million, one hundred ten thousand, one hundred one".