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131011000013 = 1087120525299
BaseRepresentation
bin111101000000011011…
…1010011011011001101
3110112011101022100220202
41322000313103123031
54121302304000023
6140104032223245
712315401061155
oct1720067233315
9415141270822
10131011000013
115061a326433
122148339ab25
13c47b4937aa
1464ab87b765
15361b9b9128
hex1e80dd36cd

131011000013 has 4 divisors (see below), whose sum is σ = 131131526400. Its totient is φ = 130890473628.

The previous prime is 131010999997. The next prime is 131011000037. The reversal of 131011000013 is 310000110131.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 310000110131 = 857361727083.

It is a cyclic number.

It is not a de Polignac number, because 131011000013 - 24 = 131010999997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131010999958 and 131011000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011000313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60261563 + ... + 60263736.

It is an arithmetic number, because the mean of its divisors is an integer number (32782881600).

Almost surely, 2131011000013 is an apocalyptic number.

It is an amenable number.

131011000013 is a deficient number, since it is larger than the sum of its proper divisors (120526387).

131011000013 is a wasteful number, since it uses less digits than its factorization.

131011000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120526386.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 131011000013 its reverse (310000110131), we get a palindrome (441011110144).

The spelling of 131011000013 in words is "one hundred thirty-one billion, eleven million, thirteen", and thus it is an aban number.

Divisors: 1 1087 120525299 131011000013