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131020301331 = 3313723353611
BaseRepresentation
bin111101000000101101…
…0110010010000010011
3110112012000210220221000
41322001122302100103
54121312144120311
6140105003433043
712315543120543
oct1720132622023
9415160726830
10131020301331
11506245a9677
1221486525783
13c48039c32a
1464acbbd323
15361c705056
hex1e816b2413

131020301331 has 16 divisors (see below), whose sum is σ = 194118843520. Its totient is φ = 87340255560.

The previous prime is 131020301303. The next prime is 131020301393. The reversal of 131020301331 is 133103020131.

It is a happy number.

131020301331 is a `hidden beast` number, since 1 + 3 + 10 + 20 + 301 + 331 = 666.

It is not a de Polignac number, because 131020301331 - 211 = 131020299283 is a prime.

It is a super-2 number, since 2×1310203013312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131027301331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193716 + ... + 547326.

It is an arithmetic number, because the mean of its divisors is an integer number (12132427720).

Almost surely, 2131020301331 is an apocalyptic number.

131020301331 is a deficient number, since it is larger than the sum of its proper divisors (63098542189).

131020301331 is a wasteful number, since it uses less digits than its factorization.

131020301331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367343 (or 367337 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131020301331 its reverse (133103020131), we get a palindrome (264123321462).

The spelling of 131020301331 in words is "one hundred thirty-one billion, twenty million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 13723 41169 123507 353611 370521 1060833 3182499 9547497 4852603753 14557811259 43673433777 131020301331