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131033013013 = 773256424683
BaseRepresentation
bin111101000001000101…
…1010001101100010101
3110112012220201202002001
41322002023101230111
54121323422404023
6140110140115301
712316056143050
oct1720213215425
9415186652061
10131033013013
11506307a10a1
122148a835b31
13c482c00236
1464b076ba97
15361d8b66ad
hex1e822d1b15

131033013013 has 8 divisors (see below), whose sum is σ = 151803412928. Its totient is φ = 110775462624.

The previous prime is 131033012987. The next prime is 131033013017. The reversal of 131033013013 is 310310330131.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131033013013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033013017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128211831 + ... + 128212852.

It is an arithmetic number, because the mean of its divisors is an integer number (18975426616).

Almost surely, 2131033013013 is an apocalyptic number.

It is an amenable number.

131033013013 is a deficient number, since it is larger than the sum of its proper divisors (20770399915).

131033013013 is an equidigital number, since it uses as much as digits as its factorization.

131033013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256424763.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 131033013013 its reverse (310310330131), we get a palindrome (441343343144).

The spelling of 131033013013 in words is "one hundred thirty-one billion, thirty-three million, thirteen thousand, thirteen".

Divisors: 1 7 73 511 256424683 1794972781 18719001859 131033013013