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13211201101201 = 317421285734649
BaseRepresentation
bin1100000000111111100011…
…1100101101110110010001
31201202222102022122002222221
43000033320330231312101
53212423014440214301
644033050401101041
72532322610343205
oct300177074556621
951688368562887
1013211201101201
114233925674024
121594504627781
1374aa7078350c
143395d59a4b05
1517d9c1170da1
hexc03f8f2dd91

13211201101201 has 16 divisors (see below), whose sum is σ = 13289389621200. Its totient is φ = 13133266191360.

The previous prime is 13211201101181. The next prime is 13211201101211. The reversal of 13211201101201 is 10210110211231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5707989939600 + 7503211161601 = 2389140^2 + 2739199^2 .

It is a cyclic number.

It is not a de Polignac number, because 13211201101201 - 27 = 13211201101073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13211201101211) 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, 381269325 + ... + 381303973.

It is an arithmetic number, because the mean of its divisors is an integer number (830586851325).

Almost surely, 213211201101201 is an apocalyptic number.

It is an amenable number.

13211201101201 is a deficient number, since it is larger than the sum of its proper divisors (78188519999).

13211201101201 is a wasteful number, since it uses less digits than its factorization.

13211201101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38244.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 13211201101201 its reverse (10210110211231), we get a palindrome (23421311312432).

The spelling of 13211201101201 in words is "thirteen trillion, two hundred eleven billion, two hundred one million, one hundred one thousand, two hundred one".

Divisors: 1 317 421 2857 34649 133457 905669 1202797 10983733 14587229 98992193 381286649 4624151593 31380525181 41675713253 13211201101201