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131310020203131 = 3711568441645901
BaseRepresentation
bin11101110110110011111111…
…000111000001001001111011
3122012221010010002010210121110
4131312303333013001021323
5114202340410133000011
61143134553541211403
736441556465541310
oct3566637707011173
9565833102123543
10131310020203131
11389262a3183330
1212888918100b63
1358366355c17b3
14245d620448d07
15102aa1d01cba6
hex776cff1c127b

131310020203131 has 16 divisors (see below), whose sum is σ = 218281592026368. Its totient is φ = 68212997508000.

The previous prime is 131310020203129. The next prime is 131310020203171. The reversal of 131310020203131 is 131302020013131.

It is a happy number.

It is not a de Polignac number, because 131310020203131 - 21 = 131310020203129 is a prime.

It is a super-2 number, since 2×1313100202031312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131310020203098 and 131310020203107.

It is not an unprimeable number, because it can be changed into a prime (131310020203171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284220822720 + ... + 284220823181.

It is an arithmetic number, because the mean of its divisors is an integer number (13642599501648).

Almost surely, 2131310020203131 is an apocalyptic number.

131310020203131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131310020203131 is a deficient number, since it is larger than the sum of its proper divisors (86971571823237).

131310020203131 is a wasteful number, since it uses less digits than its factorization.

131310020203131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568441645922.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131310020203131 its reverse (131302020013131), we get a palindrome (262612040216262).

The spelling of 131310020203131 in words is "one hundred thirty-one trillion, three hundred ten billion, twenty million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 568441645901 1705324937703 3979091521307 6252858104911 11937274563921 18758574314733 43770006734377 131310020203131