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131120011113 = 37131009476009
BaseRepresentation
bin111101000011101011…
…1001001011101101001
3110112102222102201000220
41322013113021131221
54122013210323423
6140122524520253
712321163463610
oct1720727113551
9415388381026
10131120011113
1150675912053
12214b39b0089
13c497c409c0
1464bc136877
15362634d9e3
hex1e875c9769

131120011113 has 32 divisors (see below), whose sum is σ = 215385004800. Its totient is φ = 69093513216.

The previous prime is 131120011111. The next prime is 131120011133. The reversal of 131120011113 is 311110021131.

It is not a de Polignac number, because 131120011113 - 21 = 131120011111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131120011092 and 131120011101.

It is not an unprimeable number, because it can be changed into a prime (131120011111) 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, 37453 + ... + 513461.

It is an arithmetic number, because the mean of its divisors is an integer number (6730781400).

Almost surely, 2131120011113 is an apocalyptic number.

131120011113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131120011113 is a deficient number, since it is larger than the sum of its proper divisors (84264993687).

131120011113 is a wasteful number, since it uses less digits than its factorization.

131120011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477041.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 131120011113 its reverse (311110021131), we get a palindrome (442230032244).

The spelling of 131120011113 in words is "one hundred thirty-one billion, one hundred twenty million, eleven thousand, one hundred thirteen".

Divisors: 1 3 7 13 21 39 91 273 1009 3027 7063 13117 21189 39351 91819 275457 476009 1428027 3332063 6188117 9996189 18564351 43316819 129950457 480293081 1440879243 3362051567 6243810053 10086154701 18731430159 43706670371 131120011113