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131513233 is a prime number
BaseRepresentation
bin1111101011010…
…11101110010001
3100011110120020111
413311223232101
5232131410413
621014441321
73154562335
oct765535621
9304416214
10131513233
1168265925
1238063241
13213284a7
14136757c5
15b82bd3d
hex7d6bb91

131513233 has 2 divisors, whose sum is σ = 131513234. Its totient is φ = 131513232.

The previous prime is 131513197. The next prime is 131513237. The reversal of 131513233 is 332315131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75742209 + 55771024 = 8703^2 + 7468^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131513233 is a prime.

It is a super-2 number, since 2×1315132332 = 34591460908224578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131513237) 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, 65756616 + 65756617.

It is an arithmetic number, because the mean of its divisors is an integer number (65756617).

Almost surely, 2131513233 is an apocalyptic number.

It is an amenable number.

131513233 is a deficient number, since it is larger than the sum of its proper divisors (1).

131513233 is an equidigital number, since it uses as much as digits as its factorization.

131513233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 22.

The square root of 131513233 is about 11467.9219128838. The cubic root of 131513233 is about 508.5376963720.

Adding to 131513233 its reverse (332315131), we get a palindrome (463828364).

It can be divided in two parts, 13151 and 3233, that added together give a 14-th power (16384 = 214).

The spelling of 131513233 in words is "one hundred thirty-one million, five hundred thirteen thousand, two hundred thirty-three".