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131121110113131 = 31718891361038729
BaseRepresentation
bin11101110100000100000011…
…001100001101101101101011
3122012021001111121110220200110
4131310010003030031231223
5114141242013142110011
61142512112330305403
736422121225346365
oct3564040314155553
9565231447426613
10131121110113131
113886317237a706
1212858196588263
13582188aa19c58
14245441d15dd35
151025b63497ba6
hex77410330db6b

131121110113131 has 16 divisors (see below), whose sum is σ = 185210150378400. Its totient is φ = 82228515790848.

The previous prime is 131121110113109. The next prime is 131121110113163. The reversal of 131121110113131 is 131311011121131.

It is not a de Polignac number, because 131121110113131 - 26 = 131121110113067 is a prime.

It is a super-2 number, since 2×1311211101131312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131121110113098 and 131121110113107.

It is not an unprimeable number, because it can be changed into a prime (131121110113171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680423026 + ... + 680615703.

It is an arithmetic number, because the mean of its divisors is an integer number (11575634398650).

Almost surely, 2131121110113131 is an apocalyptic number.

131121110113131 is a deficient number, since it is larger than the sum of its proper divisors (54089040265269).

131121110113131 is a wasteful number, since it uses less digits than its factorization.

131121110113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361040638.

The product of its (nonzero) digits is 54, while the sum is 21.

Adding to 131121110113131 its reverse (131311011121131), we get a palindrome (262432121234262).

The spelling of 131121110113131 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, one hundred ten million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 17 51 1889 5667 32113 96339 1361038729 4083116187 23137658393 69412975179 2571002159081 7713006477243 43707036704377 131121110113131