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131319973 is a prime number
BaseRepresentation
bin1111101001111…
…00100010100101
3100011002202010201
413310330202211
5232104214343
621010350501
73153126031
oct764744245
9304082121
10131319973
1168143704
1237b8b431
132128b535
14136251c1
15b7de94d
hex7d3c8a5

131319973 has 2 divisors, whose sum is σ = 131319974. Its totient is φ = 131319972.

The previous prime is 131319971. The next prime is 131319977. The reversal of 131319973 is 379913131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122921569 + 8398404 = 11087^2 + 2898^2 .

It is a cyclic number.

It is not a de Polignac number, because 131319973 - 21 = 131319971 is a prime.

Together with 131319971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131319971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65659986 + 65659987.

It is an arithmetic number, because the mean of its divisors is an integer number (65659987).

Almost surely, 2131319973 is an apocalyptic number.

It is an amenable number.

131319973 is a deficient number, since it is larger than the sum of its proper divisors (1).

131319973 is an equidigital number, since it uses as much as digits as its factorization.

131319973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15309, while the sum is 37.

The square root of 131319973 is about 11459.4927025589. The cubic root of 131319973 is about 508.2884738579.

It can be divided in two parts, 13131 and 9973, that added together give a square (23104 = 1522).

The spelling of 131319973 in words is "one hundred thirty-one million, three hundred nineteen thousand, nine hundred seventy-three".