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131001201013 is a prime number
BaseRepresentation
bin111101000000001000…
…1111011000101110101
3110112010200212112012211
41322000101323011311
54121242301413023
6140103042213421
712315221556514
oct1720021730565
9415120775184
10131001201013
1150614843291
1221480054271
13c479442577
1464aa44a67b
15361abd0a0d
hex1e8047b175

131001201013 has 2 divisors, whose sum is σ = 131001201014. Its totient is φ = 131001201012.

The previous prime is 131001200999. The next prime is 131001201047. The reversal of 131001201013 is 310102100131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68224395204 + 62776805809 = 261198^2 + 250553^2 .

It is a cyclic number.

It is not a de Polignac number, because 131001201013 - 213 = 131001192821 is a prime.

It is a super-2 number, since 2×1310012010132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131001200984 and 131001201002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131001201313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65500600506 + 65500600507.

It is an arithmetic number, because the mean of its divisors is an integer number (65500600507).

Almost surely, 2131001201013 is an apocalyptic number.

It is an amenable number.

131001201013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131001201013 is an equidigital number, since it uses as much as digits as its factorization.

131001201013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131001201013 its reverse (310102100131), we get a palindrome (441103301144).

The spelling of 131001201013 in words is "one hundred thirty-one billion, one million, two hundred one thousand, thirteen".