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131200434313 = 1341435724527
BaseRepresentation
bin111101000110000100…
…1111100000010001001
3110112122120202121220221
41322030021330002021
54122144302344223
6140134520350041
712323161201564
oct1721411740211
9415576677827
10131200434313
1150707252203
1221516915321
13c4ab7bb8b0
1464c8aad4db
15362d437b5d
hex1e8c27c089

131200434313 has 16 divisors (see below), whose sum is σ = 148104988416. Its totient is φ = 115406444160.

The previous prime is 131200434293. The next prime is 131200434317. The reversal of 131200434313 is 313434002131.

It is a cyclic number.

It is not a de Polignac number, because 131200434313 - 213 = 131200426121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131200434317) 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, 2839345 + ... + 2885182.

It is an arithmetic number, because the mean of its divisors is an integer number (9256561776).

Almost surely, 2131200434313 is an apocalyptic number.

131200434313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131200434313 is a deficient number, since it is larger than the sum of its proper divisors (16904554103).

131200434313 is a wasteful number, since it uses less digits than its factorization.

131200434313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724624.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 131200434313 its reverse (313434002131), we get a palindrome (444634436444).

The spelling of 131200434313 in words is "one hundred thirty-one billion, two hundred million, four hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 13 41 43 533 559 1763 22919 5724527 74418851 234705607 246154661 3051172891 3200010593 10092341101 131200434313