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131313031113 = 3114784663463
BaseRepresentation
bin111101001001011011…
…1011101011111001001
3110112221102122010200210
41322102313131133021
54122412113443423
6140154021551333
712326026230255
oct1722267353711
9415842563623
10131313031113
1150764867910
1221548575549
13c4c8c22c14
1464d9a1d265
153638279b93
hex1e92ddd7c9

131313031113 has 16 divisors (see below), whose sum is σ = 195064621056. Its totient is φ = 77890385040.

The previous prime is 131313031111. The next prime is 131313031123. The reversal of 131313031113 is 311130313131.

It is not a de Polignac number, because 131313031113 - 21 = 131313031111 is a prime.

It is a super-2 number, since 2×1313130311132 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131313031113.

It is not an unprimeable number, because it can be changed into a prime (131313031111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42330181 + ... + 42333282.

It is an arithmetic number, because the mean of its divisors is an integer number (12191538816).

Almost surely, 2131313031113 is an apocalyptic number.

It is an amenable number.

131313031113 is a deficient number, since it is larger than the sum of its proper divisors (63751589943).

131313031113 is a wasteful number, since it uses less digits than its factorization.

131313031113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84663524.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 131313031113 its reverse (311130313131), we get a palindrome (442443344244).

The spelling of 131313031113 in words is "one hundred thirty-one billion, three hundred thirteen million, thirty-one thousand, one hundred thirteen".

Divisors: 1 3 11 33 47 141 517 1551 84663463 253990389 931298093 2793894279 3979182761 11937548283 43771010371 131313031113