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131413313310041 = 7547210231632523
BaseRepresentation
bin11101111000010100001011…
…110110111100110101011001
3122020021222201202100022021202
4131320110023312330311121
5114211033431201410131
61143254235343043545
736452204260502510
oct3570241366746531
9566258652308252
10131413313310041
1138966089475394
12128a49448a05b5
1358432b743bbb9
14246461c9ad677
15102d5663e7bcb
hex77850bdbcd59

131413313310041 has 16 divisors (see below), whose sum is σ = 150468457181184. Its totient is φ = 112428642637584.

The previous prime is 131413313309987. The next prime is 131413313310157. The reversal of 131413313310041 is 140013313314131.

It is not a de Polignac number, because 131413313310041 - 230 = 131412239568217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131413313309986 and 131413313310013.

It is not an unprimeable number, because it can be changed into a prime (131413313310241) 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, 79680806 + ... + 81313328.

It is an arithmetic number, because the mean of its divisors is an integer number (9404278573824).

Almost surely, 2131413313310041 is an apocalyptic number.

It is an amenable number.

131413313310041 is a deficient number, since it is larger than the sum of its proper divisors (19055143871143).

131413313310041 is a wasteful number, since it uses less digits than its factorization.

131413313310041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654100.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 131413313310041 its reverse (140013313314131), we get a palindrome (271426626624172).

The spelling of 131413313310041 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirteen million, three hundred ten thousand, forty-one".

Divisors: 1 7 547 3829 21023 147161 1632523 11427661 11499581 80497067 892990081 6250930567 34320531029 240243717203 18773330472863 131413313310041