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131413233130433 is a prime number
BaseRepresentation
bin11101111000010100000111…
…000101000101101111000001
3122020021222112011110202112122
4131320110013011011233001
5114211033300140133213
61143254223400334025
736452202265130642
oct3570240705055701
9566258464422478
10131413233130433
1138966048191251
12128a4921a74315
1358432a3947b47
14246461209b6c9
15102d55e35ad08
hex778507145bc1

131413233130433 has 2 divisors, whose sum is σ = 131413233130434. Its totient is φ = 131413233130432.

The previous prime is 131413233130409. The next prime is 131413233130471. The reversal of 131413233130433 is 334031332314131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110527857847729 + 20885375282704 = 10513223^2 + 4570052^2 .

It is a cyclic number.

It is not a de Polignac number, because 131413233130433 - 212 = 131413233126337 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131413233130393 and 131413233130402.

It is not a weakly prime, because it can be changed into another prime (131413233100433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706616565216 + 65706616565217.

It is an arithmetic number, because the mean of its divisors is an integer number (65706616565217).

Almost surely, 2131413233130433 is an apocalyptic number.

It is an amenable number.

131413233130433 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413233130433 is an equidigital number, since it uses as much as digits as its factorization.

131413233130433 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 35.

Adding to 131413233130433 its reverse (334031332314131), we get a palindrome (465444565444564).

The spelling of 131413233130433 in words is "one hundred thirty-one trillion, four hundred thirteen billion, two hundred thirty-three million, one hundred thirty thousand, four hundred thirty-three".