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131113120333213 = 1726343966800077
BaseRepresentation
bin11101110011111100100110…
…111101100111110110011101
3122012020021212210022001002201
4131303330212331213312131
5114141124132301130323
61142504311433451501
736421416230343364
oct3563744675476635
9565207783261081
10131113120333213
113885a842352807
1212856726870b91
135820bb6644925
142453ca1d967db
151025846d1a8ad
hex773f26f67d9d

131113120333213 has 16 divisors (see below), whose sum is σ = 139670947088640. Its totient is φ = 122651352343296.

The previous prime is 131113120333177. The next prime is 131113120333267. The reversal of 131113120333213 is 312333021311131.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131113120333213 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 (131113120633213) 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, 31437270 + ... + 35362807.

It is an arithmetic number, because the mean of its divisors is an integer number (8729434193040).

Almost surely, 2131113120333213 is an apocalyptic number.

It is an amenable number.

131113120333213 is a deficient number, since it is larger than the sum of its proper divisors (8557826755427).

131113120333213 is a wasteful number, since it uses less digits than its factorization.

131113120333213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66800796.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 131113120333213 its reverse (312333021311131), we get a palindrome (443446141644344).

The spelling of 131113120333213 in words is "one hundred thirty-one trillion, one hundred thirteen billion, one hundred twenty million, three hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 17 263 439 4471 7463 115457 1962769 66800077 1135601309 17568420251 29325233803 298663144267 498528974651 7712536490189 131113120333213