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13001033101 = 717374368669
BaseRepresentation
bin11000001101110110…
…00000010110001101
31020120001201220121111
430012323000112031
5203111231024401
65550025132021
7640114646410
oct140673002615
936501656544
1013001033101
115571820661
12262a02a011
1312c2673cc4
148b4957b77
155115a7e51
hex306ec058d

13001033101 has 32 divisors (see below), whose sum is σ = 16533538560. Its totient is φ = 9967297536.

The previous prime is 13001033077. The next prime is 13001033117. The reversal of 13001033101 is 10133010031.

It is a happy number.

It is not a de Polignac number, because 13001033101 - 25 = 13001033069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001033141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154995 + ... + 223663.

It is an arithmetic number, because the mean of its divisors is an integer number (516673080).

Almost surely, 213001033101 is an apocalyptic number.

It is an amenable number.

13001033101 is a deficient number, since it is larger than the sum of its proper divisors (3532505459).

13001033101 is a wasteful number, since it uses less digits than its factorization.

13001033101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68773.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13001033101 its reverse (10133010031), we get a palindrome (23134043132).

The spelling of 13001033101 in words is "thirteen billion, one million, thirty-three thousand, one hundred one".

Divisors: 1 7 17 37 43 119 259 301 629 731 1591 4403 5117 11137 27047 68669 189329 480683 1167373 2540753 2952767 8171611 17785271 20669369 43192801 50197039 109252379 302349607 351379273 764766653 1857290443 13001033101