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131111112331213 = 7612698531338167
BaseRepresentation
bin11101110011111010101111…
…010001101100111111001101
3122012020002200211212222012021
4131303322233101230333031
5114141111024224044323
61142503340303210141
736421315405533220
oct3563725721547715
9565202624788167
10131111112331213
1138859a01940123
12128562662a6951
135820956628271
142453b514175b7
15102577a8c705d
hex773eaf46cfcd

131111112331213 has 32 divisors (see below), whose sum is σ = 153043169610240. Its totient is φ = 109998529839360.

The previous prime is 131111112331201. The next prime is 131111112331217. The reversal of 131111112331213 is 312133211111131.

It is a cyclic number.

It is not a de Polignac number, because 131111112331213 - 25 = 131111112331181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111112331217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97309056 + ... + 98647222.

It is an arithmetic number, because the mean of its divisors is an integer number (4782599050320).

Almost surely, 2131111112331213 is an apocalyptic number.

It is an amenable number.

131111112331213 is a deficient number, since it is larger than the sum of its proper divisors (21932057279027).

131111112331213 is a wasteful number, since it uses less digits than its factorization.

131111112331213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339357.

The product of its digits is 324, while the sum is 25.

Adding to 131111112331213 its reverse (312133211111131), we get a palindrome (443244323442344).

The spelling of 131111112331213 in words is "one hundred thirty-one trillion, one hundred eleven billion, one hundred twelve million, three hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 7 61 269 427 853 1883 5971 16409 52033 114863 229457 364231 1338167 1606199 9367169 13996877 81628187 97978139 359966923 571397309 1141456451 2519768461 7990195157 21957982303 69628843511 153705876121 307051785319 487401904577 2149362497233 18730158904459 131111112331213