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131322312013 = 737927782207
BaseRepresentation
bin111101001001101101…
…0110111010101001101
3110112222002002122200211
41322103122313111031
54122422002441023
6140154552522421
712326201143264
oct1722332672515
9415862078624
10131322312013
115076a026782
122154b6b0411
13c4cab22389
1464dad575db
153638eaea0d
hex1e936b754d

131322312013 has 16 divisors (see below), whose sum is σ = 135294638080. Its totient is φ = 127420615296.

The previous prime is 131322311983. The next prime is 131322312047. The reversal of 131322312013 is 310213223131.

It is a cyclic number.

It is not a de Polignac number, because 131322312013 - 213 = 131322303821 is a prime.

It is a super-2 number, since 2×1313223120132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131322312083) 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, 1556356 + ... + 1638562.

It is an arithmetic number, because the mean of its divisors is an integer number (8455914880).

Almost surely, 2131322312013 is an apocalyptic number.

It is an amenable number.

131322312013 is a deficient number, since it is larger than the sum of its proper divisors (3972326067).

131322312013 is an equidigital number, since it uses as much as digits as its factorization.

131322312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82636.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131322312013 its reverse (310213223131), we get a palindrome (441535535144).

The spelling of 131322312013 in words is "one hundred thirty-one billion, three hundred twenty-two million, three hundred twelve thousand, thirteen".

Divisors: 1 73 79 277 5767 20221 21883 82207 1597459 6001111 6494353 22771339 474087769 1662307747 1798935781 131322312013