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131133100349 is a prime number
BaseRepresentation
bin111101000100000100…
…1000101000100111101
3110112110220001201002102
41322020021011010331
54122030033202344
6140124113234445
712321412650626
oct1721011050475
9415426051072
10131133100349
11506822421a9
12214b8262a25
13c49a874704
1464bdb82a4d
153627586e4e
hex1e8824513d

131133100349 has 2 divisors, whose sum is σ = 131133100350. Its totient is φ = 131133100348.

The previous prime is 131133100321. The next prime is 131133100367. The reversal of 131133100349 is 943001331131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122207574724 + 8925525625 = 349582^2 + 94475^2 .

It is a cyclic number.

It is not a de Polignac number, because 131133100349 - 232 = 126838133053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131133100369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65566550174 + 65566550175.

It is an arithmetic number, because the mean of its divisors is an integer number (65566550175).

Almost surely, 2131133100349 is an apocalyptic number.

It is an amenable number.

131133100349 is a deficient number, since it is larger than the sum of its proper divisors (1).

131133100349 is an equidigital number, since it uses as much as digits as its factorization.

131133100349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 131133100349 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred thousand, three hundred forty-nine".