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131035320144001 = 7132475123314097
BaseRepresentation
bin11101110010110100001001…
…101101011101000010000001
3122011221212001202111221012101
4131302310021231131002001
5114133340313424102001
61142404443421430401
736412663246552330
oct3562641155350201
9564855052457171
10131035320144001
113882a849157079
121284363370b401
1358167681a6300
142450201449d17
1510237e1a2ca01
hex772d09b5d081

131035320144001 has 24 divisors (see below), whose sum is σ = 162194501170944. Its totient is φ = 103654470816000.

The previous prime is 131035320143977. The next prime is 131035320144017. The reversal of 131035320144001 is 100441023530131.

It is not a de Polignac number, because 131035320144001 - 27 = 131035320143873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131035320144301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6036616 + ... + 17277481.

It is an arithmetic number, because the mean of its divisors is an integer number (6758104215456).

Almost surely, 2131035320144001 is an apocalyptic number.

It is an amenable number.

131035320144001 is a deficient number, since it is larger than the sum of its proper divisors (31159181026943).

131035320144001 is a wasteful number, since it uses less digits than its factorization.

131035320144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23318881 (or 23318868 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 131035320144001 its reverse (100441023530131), we get a palindrome (231476343674132).

The spelling of 131035320144001 in words is "one hundred thirty-one trillion, thirty-five billion, three hundred twenty million, one hundred forty-four thousand, one".

Divisors: 1 7 13 91 169 1183 4751 33257 61763 432341 802919 5620433 23314097 163198679 303083261 2121582827 3940082393 27580576751 110765274847 775356923929 1439948573011 10079640011077 18719331449143 131035320144001