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130131202110013 = 1327431036348739
BaseRepresentation
bin11101100101101010001000…
…000100110111001000111101
3122001202102101012221001022201
4131211222020010313020331
5114024032200220010023
61140433240550311501
736260445333222646
oct3545521004671075
9561672335831281
10130131202110013
1138511373094405
1212718370358591
13577c42050c700
14241c5531866cd
15100a027c12bad
hex765a8813723d

130131202110013 has 12 divisors (see below), whose sum is σ = 141100953648480. Its totient is φ = 119959439120976.

The previous prime is 130131202109989. The next prime is 130131202110031. The reversal of 130131202110013 is 310011202131031.

It is not a de Polignac number, because 130131202110013 - 225 = 130131168555581 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 (130131202110913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 518048803 + ... + 518299936.

It is an arithmetic number, because the mean of its divisors is an integer number (11758412804040).

Almost surely, 2130131202110013 is an apocalyptic number.

130131202110013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130131202110013 is a deficient number, since it is larger than the sum of its proper divisors (10969751538467).

130131202110013 is a wasteful number, since it uses less digits than its factorization.

130131202110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036349508 (or 1036349495 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 130131202110013 its reverse (310011202131031), we get a palindrome (440142404241044).

The spelling of 130131202110013 in words is "one hundred thirty trillion, one hundred thirty-one billion, two hundred two million, one hundred ten thousand, thirteen".

Divisors: 1 13 169 743 9659 125567 1036348739 13472533607 175142936891 770007113077 10010092470001 130131202110013