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131342401 is a prime number
BaseRepresentation
bin1111101010000…
…10000001000001
3100011010212220101
413311002001001
5232110424101
621011042401
73153251311
oct765020101
9304125811
10131342401
1168159543
1237ba0401
13212987c8
141362d441
15b7e6401
hex7d42041

131342401 has 2 divisors, whose sum is σ = 131342402. Its totient is φ = 131342400.

The previous prime is 131342399. The next prime is 131342411. The reversal of 131342401 is 104243131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97002801 + 34339600 = 9849^2 + 5860^2 .

It is a cyclic number.

It is not a de Polignac number, because 131342401 - 21 = 131342399 is a prime.

Together with 131342399, it forms a pair of twin primes.

It is equal to p7450021 and since 131342401 and 7450021 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (131342411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65671200 + 65671201.

It is an arithmetic number, because the mean of its divisors is an integer number (65671201).

Almost surely, 2131342401 is an apocalyptic number.

It is an amenable number.

131342401 is a deficient number, since it is larger than the sum of its proper divisors (1).

131342401 is an equidigital number, since it uses as much as digits as its factorization.

131342401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 131342401 is about 11460.4712381298. The cubic root of 131342401 is about 508.3174088953.

Adding to 131342401 its reverse (104243131), we get a palindrome (235585532).

The spelling of 131342401 in words is "one hundred thirty-one million, three hundred forty-two thousand, four hundred one".