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131202134133041 = 2915759948107903
BaseRepresentation
bin11101110101001111100000…
…100110010100100100110001
3122012112210122022110120220202
4131311033200212110210301
5114144103432314224131
61143013232304244545
736431020123222646
oct3565174046244461
9565483568416822
10131202134133041
1138894570316034
121286ba29310755
13582940104bcba
142458307cd9dcd
151027d067debcb
hex7753e0994931

131202134133041 has 16 divisors (see below), whose sum is σ = 136818878976000. Its totient is φ = 125660918929728.

The previous prime is 131202134133011. The next prime is 131202134133047. The reversal of 131202134133041 is 140331431202131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131202134133041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131202134132995 and 131202134133013.

It is not an unprimeable number, because it can be changed into a prime (131202134133047) 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, 21326705 + ... + 26781198.

It is an arithmetic number, because the mean of its divisors is an integer number (8551179936000).

Almost surely, 2131202134133041 is an apocalyptic number.

It is an amenable number.

131202134133041 is a deficient number, since it is larger than the sum of its proper divisors (5616744842959).

131202134133041 is a wasteful number, since it uses less digits than its factorization.

131202134133041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48108688.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 131202134133041 its reverse (140331431202131), we get a palindrome (271533565335172).

The spelling of 131202134133041 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred thirty-four million, one hundred thirty-three thousand, forty-one".

Divisors: 1 29 157 599 4553 17371 94043 2727247 48107903 1395129187 7552940771 28816633897 219035282359 835682383013 4524211521829 131202134133041