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131333131 is a prime number
BaseRepresentation
bin1111101001111…
…11110000001011
3100011010102012001
413310333300023
5232110130011
621010531431
73153212266
oct764776013
9304112161
10131333131
1168152586
1237b96b77
1321294517
1413629cdd
15b7e37c1
hex7d3fc0b

131333131 has 2 divisors, whose sum is σ = 131333132. Its totient is φ = 131333130.

The previous prime is 131333089. The next prime is 131333201.

It is a happy number.

131333131 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 131333131 - 27 = 131333003 is a prime.

It is a super-2 number, since 2×1313331312 = 34496782596526322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131333099 and 131333108.

It is not a weakly prime, because it can be changed into another prime (131333231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65666565 + 65666566.

It is an arithmetic number, because the mean of its divisors is an integer number (65666566).

Almost surely, 2131333131 is an apocalyptic number.

131333131 is a deficient number, since it is larger than the sum of its proper divisors (1).

131333131 is an equidigital number, since it uses as much as digits as its factorization.

131333131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 243, while the sum is 19.

The square root of 131333131 is about 11460.0667973620. The cubic root of 131333131 is about 508.3054497889.

The spelling of 131333131 in words is "one hundred thirty-one million, three hundred thirty-three thousand, one hundred thirty-one".