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131212323133 = 1722960156081
BaseRepresentation
bin111101000110011011…
…1010010100100111101
3110112200102010122022121
41322030313102210331
54122210323320013
6140140023242541
712323364226063
oct1721467224475
9415612118277
10131212323133
1150712a32481
122151a8a9451
13c4b10c20b8
1464ca4c6033
15362e4d558d
hex1e8cdd293d

131212323133 has 16 divisors (see below), whose sum is σ = 139772046960. Its totient is φ = 122747904000.

The previous prime is 131212323131. The next prime is 131212323149. The reversal of 131212323133 is 331323212131.

It can be written as a sum of positive squares in 8 ways, for example, as 15882804729 + 115329518404 = 126027^2 + 339602^2 .

It is a cyclic number.

It is not a de Polignac number, because 131212323133 - 21 = 131212323131 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131212323098 and 131212323107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212323131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2311653 + ... + 2367733.

It is an arithmetic number, because the mean of its divisors is an integer number (8735752935).

Almost surely, 2131212323133 is an apocalyptic number.

It is an amenable number.

131212323133 is a deficient number, since it is larger than the sum of its proper divisors (8559723827).

131212323133 is a wasteful number, since it uses less digits than its factorization.

131212323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56928.

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

Adding to 131212323133 its reverse (331323212131), we get a palindrome (462535535264).

The spelling of 131212323133 in words is "one hundred thirty-one billion, two hundred twelve million, three hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 17 229 601 3893 10217 56081 137629 953377 2339693 12842549 33704681 218323333 572979577 7718371949 131212323133