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131011421413223 = 13194391208224631
BaseRepresentation
bin11101110010011101111001…
…001111000001111101100111
3122011212120101012211121202102
4131302131321033001331213
5114132442342340210343
61142345452141002315
736411156103651361
oct3562357117017547
9564776335747672
10131011421413223
11388206a4a219aa
121283aa83b5339b
135814429b763b0
14244cdb5451d31
151022d938923b8
hex7727793c1f67

131011421413223 has 16 divisors (see below), whose sum is σ = 148853274662400. Its totient is φ = 114307715795040.

The previous prime is 131011421413199. The next prime is 131011421413381. The reversal of 131011421413223 is 322314124110131.

It is a de Polignac number, because none of the positive numbers 2k-131011421413223 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 (131011421413723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604003883 + ... + 604220748.

It is an arithmetic number, because the mean of its divisors is an integer number (9303329666400).

Almost surely, 2131011421413223 is an apocalyptic number.

131011421413223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131011421413223 is a deficient number, since it is larger than the sum of its proper divisors (17841853249177).

131011421413223 is a wasteful number, since it uses less digits than its factorization.

131011421413223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208225102.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 131011421413223 its reverse (322314124110131), we get a palindrome (453325545523354).

The spelling of 131011421413223 in words is "one hundred thirty-one trillion, eleven billion, four hundred twenty-one million, four hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 13 19 247 439 5707 8341 108433 1208224631 15706920203 22956267989 298431483857 530410613009 6895337969117 10077801647171 131011421413223