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131310001113 = 33713919743201
BaseRepresentation
bin111101001001010101…
…1111001101111011001
3110112221012221012022120
41322102223321233121
54122410330013423
6140153433011453
712325661410404
oct1722253715731
9415835835276
10131310001113
1150763088385
1221547553b89
13c4c8401a15
1464d9470d3b
153637d7bee3
hex1e92af9bd9

131310001113 has 32 divisors (see below), whose sum is σ = 182029034880. Its totient is φ = 84130099200.

The previous prime is 131310001111. The next prime is 131310001153. The reversal of 131310001113 is 311100013131.

It is not a de Polignac number, because 131310001113 - 21 = 131310001111 is a prime.

It is a super-2 number, since 2×1313100011132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131310001092 and 131310001101.

It is not an unprimeable number, because it can be changed into a prime (131310001111) 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 31 ways as a sum of consecutive naturals, for example, 3017913 + ... + 3061113.

It is an arithmetic number, because the mean of its divisors is an integer number (5688407340).

Almost surely, 2131310001113 is an apocalyptic number.

It is an amenable number.

131310001113 is a deficient number, since it is larger than the sum of its proper divisors (50719033767).

131310001113 is a wasteful number, since it uses less digits than its factorization.

131310001113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43577.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 131310001113 its reverse (311100013131), we get a palindrome (442410014244).

The spelling of 131310001113 in words is "one hundred thirty-one billion, three hundred ten million, one thousand, one hundred thirteen".

Divisors: 1 3 37 111 139 197 417 591 5143 7289 15429 21867 27383 43201 82149 129603 1013171 1598437 3039513 4795311 6004939 8510597 18014817 25531791 222182743 314892089 666548229 944676267 1182972983 3548918949 43770000371 131310001113