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131300256813 = 3113978795661
BaseRepresentation
bin111101001001000011…
…0101110110000101101
3110112220112121010122120
41322102012232300231
54122400331204223
6140152444103153
712325512524355
oct1722206566055
9415815533576
10131300256813
1150758632340
1221544234ab9
13c4c639c66b
1464d8055b65
1536370a4be3
hex1e921aec2d

131300256813 has 8 divisors (see below), whose sum is σ = 190982191776. Its totient is φ = 79575913200.

The previous prime is 131300256683. The next prime is 131300256817. The reversal of 131300256813 is 318652003131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131300256813 - 214 = 131300240429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 3978795661 = 131300256813 / (1 + 3 + 1 + 3 + 0 + 0 + 2 + 5 + 6 + 8 + 1 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131300256817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1989397798 + ... + 1989397863.

It is an arithmetic number, because the mean of its divisors is an integer number (23872773972).

Almost surely, 2131300256813 is an apocalyptic number.

It is an amenable number.

131300256813 is a deficient number, since it is larger than the sum of its proper divisors (59681934963).

131300256813 is a wasteful number, since it uses less digits than its factorization.

131300256813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978795675.

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 131300256813 its reverse (318652003131), we get a palindrome (449952259944).

The spelling of 131300256813 in words is "one hundred thirty-one billion, three hundred million, two hundred fifty-six thousand, eight hundred thirteen".

Divisors: 1 3 11 33 3978795661 11936386983 43766752271 131300256813