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131313120131 = 19314730715451
BaseRepresentation
bin111101001001011011…
…1110011001110000011
3110112221102210122210202
41322102313303032003
54122412124321011
6140154023515415
712326030050634
oct1722267631603
9415842718722
10131313120131
1150764918786
12215485b8b6b
13c4c8c545ab
1464d9a4388b
15363829623b
hex1e92df3383

131313120131 has 32 divisors (see below), whose sum is σ = 146203115520. Its totient is φ = 117436068000.

The previous prime is 131313120121. The next prime is 131313120149. The reversal of 131313120131 is 131021313131.

It is a cyclic number.

It is not a de Polignac number, because 131313120131 - 230 = 130239378307 is a prime.

It is a super-2 number, since 2×1313131201312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131313120121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8490956 + ... + 8506406.

It is an arithmetic number, because the mean of its divisors is an integer number (4568847360).

Almost surely, 2131313120131 is an apocalyptic number.

131313120131 is a deficient number, since it is larger than the sum of its proper divisors (14889995389).

131313120131 is a wasteful number, since it uses less digits than its factorization.

131313120131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15855.

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

Adding to 131313120131 its reverse (131021313131), we get a palindrome (262334433262).

The spelling of 131313120131 in words is "one hundred thirty-one billion, three hundred thirteen million, one hundred twenty thousand, one hundred thirty-one".

Divisors: 1 19 31 47 307 589 893 1457 5833 9517 14429 15451 27683 180823 274151 293569 447299 478981 726197 4743457 8498681 9100639 13797743 22512107 90125683 147047167 222942479 427730033 2793896173 4235907101 6911216849 131313120131