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131101132131 = 32131111196889
BaseRepresentation
bin111101000011000111…
…1001000010101100011
3110112101122220112221100
41322012033020111203
54121443342212011
6140121012125443
712320544144054
oct1720617102543
9415348815840
10131101132131
1150666197a92
12214a9606883
13c4940608c8
1464b982072b
15362486ed56
hex1e863c8563

131101132131 has 12 divisors (see below), whose sum is σ = 190813863240. Its totient is φ = 86733572640.

The previous prime is 131101132121. The next prime is 131101132139. The reversal of 131101132131 is 131231101131.

131101132131 is a `hidden beast` number, since 1 + 311 + 0 + 1 + 1 + 321 + 31 = 666.

It is not a de Polignac number, because 131101132131 - 210 = 131101131107 is a prime.

It is a super-2 number, since 2×1311011321312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131101132139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55597266 + ... + 55599623.

It is an arithmetic number, because the mean of its divisors is an integer number (15901155270).

Almost surely, 2131101132131 is an apocalyptic number.

131101132131 is a deficient number, since it is larger than the sum of its proper divisors (59712731109).

131101132131 is a wasteful number, since it uses less digits than its factorization.

131101132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111197026 (or 111197023 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131101132131 its reverse (131231101131), we get a palindrome (262332233262).

The spelling of 131101132131 in words is "one hundred thirty-one billion, one hundred one million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 131 393 1179 111196889 333590667 1000772001 14566792459 43700377377 131101132131