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131130131 = 1132213701
BaseRepresentation
bin1111101000011…
…10001100010011
3100010202002201112
413310032030103
5232032131011
621002323535
73151405406
oct764161423
9303662645
10131130131
1168024010
1237ab95ab
1321222cc2
14135b5d3d
15b7a358b
hex7d0e313

131130131 has 8 divisors (see below), whose sum is σ = 143134128. Its totient is φ = 119140000.

The previous prime is 131130127. The next prime is 131130169. The reversal of 131130131 is 131031131.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131130131 - 22 = 131130127 is a prime.

It is a super-2 number, since 2×1311301312 = 34390222512154322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131130101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33581 + ... + 37281.

It is an arithmetic number, because the mean of its divisors is an integer number (17891766).

Almost surely, 2131130131 is an apocalyptic number.

131130131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131130131 is a deficient number, since it is larger than the sum of its proper divisors (12003997).

131130131 is a wasteful number, since it uses less digits than its factorization.

131130131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6933.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 131130131 is about 11451.2065303181. The cubic root of 131130131 is about 508.0434209170.

Adding to 131130131 its reverse (131031131), we get a palindrome (262161262).

The spelling of 131130131 in words is "one hundred thirty-one million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 11 3221 3701 35431 40711 11920921 131130131