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131201141200441 = 13531311453607299
BaseRepresentation
bin11101110101001110100101…
…011010100101011000111001
3122012112201002010002101110021
4131311032211122211120321
5114144044414121403231
61143012545554250441
736430653405355504
oct3565164532453071
9565481063071407
10131201141200441
113889410088a084
121286b7b0886a21
1358292a3417910
1424582520ac13b
151027c99557811
hex7753a56a5639

131201141200441 has 16 divisors (see below), whose sum is σ = 145058379681600. Its totient is φ = 117916624013760.

The previous prime is 131201141200343. The next prime is 131201141200453. The reversal of 131201141200441 is 144002141102131.

It is not a de Polignac number, because 131201141200441 - 213 = 131201141192249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131201141201441) 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, 726713391 + ... + 726893908.

It is an arithmetic number, because the mean of its divisors is an integer number (9066148730100).

Almost surely, 2131201141200441 is an apocalyptic number.

It is an amenable number.

131201141200441 is a deficient number, since it is larger than the sum of its proper divisors (13857238481159).

131201141200441 is a wasteful number, since it uses less digits than its factorization.

131201141200441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453607496.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 131201141200441 its reverse (144002141102131), we get a palindrome (275203282302572).

The spelling of 131201141200441 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-one million, two hundred thousand, four hundred forty-one".

Divisors: 1 13 53 131 689 1703 6943 90259 1453607299 18896894887 77041186847 190422556169 1001535429011 2475493230197 10092395476957 131201141200441