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131135133400201 = 7219913448377951
BaseRepresentation
bin11101110100010001000111…
…000010110011110010001001
3122012022101200220202201010001
4131310101013002303302021
5114142004223122301301
61142522352034123001
736423125565334300
oct3564210702636211
9565271626681101
10131135133400201
1138869109133857
121285aa4aa20461
135822cb40c0458
142454d8d779437
1510261d467ac01
hex7744470b3c89

131135133400201 has 12 divisors (see below), whose sum is σ = 153311508652800. Its totient is φ = 111836711032200.

The previous prime is 131135133400133. The next prime is 131135133400217. The reversal of 131135133400201 is 102004331531131.

It is a happy number.

It is not a de Polignac number, because 131135133400201 - 211 = 131135133398153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131135133400201.

It is not an unprimeable number, because it can be changed into a prime (131135133400231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6724179225 + ... + 6724198726.

It is an arithmetic number, because the mean of its divisors is an integer number (12775959054400).

Almost surely, 2131135133400201 is an apocalyptic number.

It is an amenable number.

131135133400201 is a deficient number, since it is larger than the sum of its proper divisors (22176375252599).

131135133400201 is a wasteful number, since it uses less digits than its factorization.

131135133400201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13448378164 (or 13448378157 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 131135133400201 its reverse (102004331531131), we get a palindrome (233139464931332).

The spelling of 131135133400201 in words is "one hundred thirty-one trillion, one hundred thirty-five billion, one hundred thirty-three million, four hundred thousand, two hundred one".

Divisors: 1 7 49 199 1393 9751 13448377951 94138645657 658970519599 2676227212249 18733590485743 131135133400201