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131033333 is a prime number
BaseRepresentation
bin1111100111101…
…10100011110101
3100010120011221102
413303312203311
5232021031313
621000255445
73150523244
oct763664365
9303504842
10131033333
1167a68312
1237a71585
13211bac22
141358c95b
15b784a58
hex7cf68f5

131033333 has 2 divisors, whose sum is σ = 131033334. Its totient is φ = 131033332.

The previous prime is 131033327. The next prime is 131033363. The reversal of 131033333 is 333330131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104387089 + 26646244 = 10217^2 + 5162^2 .

It is an emirp because it is prime and its reverse (333330131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131033333 is a prime.

It is a Sophie Germain prime.

131033333 is a modest number, since divided by 33333 gives 1310 as remainder.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131033363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65516666 + 65516667.

It is an arithmetic number, because the mean of its divisors is an integer number (65516667).

Almost surely, 2131033333 is an apocalyptic number.

It is an amenable number.

131033333 is a deficient number, since it is larger than the sum of its proper divisors (1).

131033333 is an equidigital number, since it uses as much as digits as its factorization.

131033333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 20.

The square root of 131033333 is about 11446.9792085074. The cubic root of 131033333 is about 507.9183805155.

Adding to 131033333 its reverse (333330131), we get a palindrome (464363464).

It can be divided in two parts, 1310 and 33333, that added together give a palindrome (34643).

The spelling of 131033333 in words is "one hundred thirty-one million, thirty-three thousand, three hundred thirty-three".