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131200113121 = 721117101141767
BaseRepresentation
bin111101000110000100…
…0101101100111100001
3110112122120011022022221
41322030020231213201
54122144212104441
6140134505431041
712323155363300
oct1721410554741
9415576138287
10131200113121
1150707052960
122151679b481
13c4ab70863c
1464c8a28437
15362d3c28d1
hex1e8c22d9e1

131200113121 has 48 divisors (see below), whose sum is σ = 178035656832. Its totient is φ = 95266752000.

The previous prime is 131200113113. The next prime is 131200113131. The reversal of 131200113121 is 121311002131.

It is a happy number.

131200113121 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 131200113121 - 23 = 131200113113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131200113095 and 131200113104.

It is not an unprimeable number, because it can be changed into a prime (131200113101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854580 + ... + 996346.

It is an arithmetic number, because the mean of its divisors is an integer number (3709076184).

Almost surely, 2131200113121 is an apocalyptic number.

131200113121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131200113121 is a deficient number, since it is larger than the sum of its proper divisors (46835543711).

131200113121 is a wasteful number, since it uses less digits than its factorization.

131200113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141910 (or 141903 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131200113121 its reverse (121311002131), we get a palindrome (252511115252).

The spelling of 131200113121 in words is "one hundred thirty-one billion, two hundred million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 7 11 17 49 77 101 119 187 539 707 833 1111 1309 1717 4949 7777 9163 12019 18887 54439 84133 132209 141767 925463 992369 1559437 2410039 6946583 10916059 14318467 16870273 26510429 76412413 100229269 118091911 157503137 185573003 243413939 701604883 1102521959 1299011021 1703897573 2677553329 7717653713 11927283011 18742873303 131200113121