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13121231101 = 114127289033
BaseRepresentation
bin11000011100001011…
…00001100011111101
31020212102220121021021
430032011201203331
5203333013343401
610010001304141
7643104424036
oct141605414375
936772817237
1013121231101
115623658150
122662335051
13131153a094
148c68c5a8d
1551bdec2a1
hex30e1618fd

13121231101 has 8 divisors (see below), whose sum is σ = 14317588224. Its totient is φ = 11925460320.

The previous prime is 13121231099. The next prime is 13121231141. The reversal of 13121231101 is 10113212131.

It is a happy number.

13121231101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13121231101 - 21 = 13121231099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121231141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99120 + ... + 189913.

It is an arithmetic number, because the mean of its divisors is an integer number (1789698528).

Almost surely, 213121231101 is an apocalyptic number.

13121231101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13121231101 is a deficient number, since it is larger than the sum of its proper divisors (1196357123).

13121231101 is a wasteful number, since it uses less digits than its factorization.

13121231101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293171.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13121231101 its reverse (10113212131), we get a palindrome (23234443232).

The spelling of 13121231101 in words is "thirteen billion, one hundred twenty-one million, two hundred thirty-one thousand, one hundred one".

Divisors: 1 11 4127 45397 289033 3179363 1192839191 13121231101