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131382020101 is a prime number
BaseRepresentation
bin111101001011011111…
…0101000100000000101
3110120010020110010210111
41322112332220200011
54123032244120401
6140204524353021
712330524513323
oct1722676504005
9416106403714
10131382020101
115079a7a8302
12215676a5771
13c50a2c94c7
146504c5ad13
15363e355e51
hex1e96fa8805

131382020101 has 2 divisors, whose sum is σ = 131382020102. Its totient is φ = 131382020100.

The previous prime is 131382020083. The next prime is 131382020171. The reversal of 131382020101 is 101020283131.

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., 95080339201 + 36301680900 = 308351^2 + 190530^2 .

It is a cyclic number.

It is not a de Polignac number, because 131382020101 - 229 = 130845149189 is a prime.

It is a super-2 number, since 2×1313820201012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131382020171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65691010050 + 65691010051.

It is an arithmetic number, because the mean of its divisors is an integer number (65691010051).

Almost surely, 2131382020101 is an apocalyptic number.

It is an amenable number.

131382020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

131382020101 is an equidigital number, since it uses as much as digits as its factorization.

131382020101 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 22.

The spelling of 131382020101 in words is "one hundred thirty-one billion, three hundred eighty-two million, twenty thousand, one hundred one".