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13311012112201 = 617106109203317
BaseRepresentation
bin1100000110110011011000…
…1001100000011101001001
31202010112001022122211002001
43001230312021200131021
53221041423100042301
644150554453311001
72542455201054316
oct301546611403511
952115038584061
1013311012112201
114272194357971
1215ab91b035461
137572b909273b
143403838abd0d
151813b39c8c01
hexc1b36260749

13311012112201 has 8 divisors (see below), whose sum is σ = 13332777101640. Its totient is φ = 13289247742848.

The previous prime is 13311012112193. The next prime is 13311012112217. The reversal of 13311012112201 is 10221121011331.

It can be written as a sum of positive squares in 4 ways, for example, as 4160992102201 + 9150020010000 = 2039851^2 + 3024900^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13311012112201 - 23 = 13311012112193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13311012112261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65367595 + ... + 65570911.

It is an arithmetic number, because the mean of its divisors is an integer number (1666597137705).

Almost surely, 213311012112201 is an apocalyptic number.

It is an amenable number.

13311012112201 is a deficient number, since it is larger than the sum of its proper divisors (21764989439).

13311012112201 is a wasteful number, since it uses less digits than its factorization.

13311012112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310043.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 13311012112201 its reverse (10221121011331), we get a palindrome (23532133123532).

The spelling of 13311012112201 in words is "thirteen trillion, three hundred eleven billion, twelve million, one hundred twelve thousand, two hundred one".

Divisors: 1 617 106109 203317 65469253 125446589 21573763553 13311012112201