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131433210331033 = 13471301292756489
BaseRepresentation
bin11101111000100110101101…
…110100000011111110011001
3122020100220002102002200220011
4131320212231310003332121
5114211400203321043113
61143311325553201521
736453510322416202
oct3570465564037631
9566326072080804
10131433210331033
1138973569858796
12128a87782602a1
13584513869c0c0
14246558932a5a9
15102dd2d0c163d
hex7789add03f99

131433210331033 has 32 divisors (see below), whose sum is σ = 144718117447680. Its totient is φ = 118607718028800.

The previous prime is 131433210330991. The next prime is 131433210331121. The reversal of 131433210331033 is 330133012334131.

It is a de Polignac number, because none of the positive numbers 2k-131433210331033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131433210330986 and 131433210331004.

It is not an unprimeable number, because it can be changed into a prime (131433210131033) 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, 2326676253 + ... + 2326732741.

It is an arithmetic number, because the mean of its divisors is an integer number (4522441170240).

Almost surely, 2131433210331033 is an apocalyptic number.

131433210331033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131433210331033 is a deficient number, since it is larger than the sum of its proper divisors (13284907116647).

131433210331033 is a wasteful number, since it uses less digits than its factorization.

131433210331033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60777.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 131433210331033 its reverse (330133012334131), we get a palindrome (461566222665164).

The spelling of 131433210331033 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, two hundred ten million, three hundred thirty-one thousand, thirty-three".

Divisors: 1 13 47 611 1301 2927 16913 38051 56489 61147 137569 734357 794911 1788397 2654983 3808027 34514779 49504351 73492189 165343303 178977269 955398457 2149462939 2326704497 3454132883 7771135241 44903727479 101024758133 215111637203 2796451283639 10110246948541 131433210331033