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131312001201 = 3597310162681
BaseRepresentation
bin111101001001011001…
…1100010000010110001
3110112221100200210220220
41322102303202002301
54122411333014301
6140153543523253
712326014410513
oct1722263420261
9415840623826
10131312001201
1150764224047
1221548159529
13c4c89521c4
1464d9831bb3
153638124936
hex1e92ce20b1

131312001201 has 16 divisors (see below), whose sum is σ = 180489232320. Its totient is φ = 84878703360.

The previous prime is 131312001199. The next prime is 131312001203. The reversal of 131312001201 is 102100213131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131312001199) and next prime (131312001203).

It is not a de Polignac number, because 131312001201 - 21 = 131312001199 is a prime.

It is a super-2 number, since 2×1313120012012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131312001203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5068420 + ... + 5094261.

It is an arithmetic number, because the mean of its divisors is an integer number (11280577020).

Almost surely, 2131312001201 is an apocalyptic number.

It is an amenable number.

131312001201 is a deficient number, since it is larger than the sum of its proper divisors (49177231119).

131312001201 is a wasteful number, since it uses less digits than its factorization.

131312001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10162816.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131312001201 its reverse (102100213131), we get a palindrome (233412214332).

The spelling of 131312001201 in words is "one hundred thirty-one billion, three hundred twelve million, one thousand, two hundred one".

Divisors: 1 3 59 73 177 219 4307 12921 10162681 30488043 599598179 741875713 1798794537 2225627139 43770667067 131312001201