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13121310121 = 431033129537
BaseRepresentation
bin11000011100001011…
…10100110110101001
31020212110001121122221
430032011310312221
5203333023410441
610010003114041
7643105203313
oct141605646651
936773047587
1013121310121
115623701557
122662372921
13131156703a
148c69067b3
1551be158d1
hex30e174da9

13121310121 has 8 divisors (see below), whose sum is σ = 13428211104. Its totient is φ = 12814488960.

The previous prime is 13121310053. The next prime is 13121310143. The reversal of 13121310121 is 12101312131.

It is a happy number.

13121310121 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 13121310121 - 233 = 4531375529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13121310095 and 13121310104.

It is not an unprimeable number, because it can be changed into a prime (13121310161) 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, 429465 + ... + 459001.

It is an arithmetic number, because the mean of its divisors is an integer number (1678526388).

Almost surely, 213121310121 is an apocalyptic number.

It is an amenable number.

13121310121 is a deficient number, since it is larger than the sum of its proper divisors (306900983).

13121310121 is a wasteful number, since it uses less digits than its factorization.

13121310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39911.

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

Adding to 13121310121 its reverse (12101312131), we get a palindrome (25222622252).

The spelling of 13121310121 in words is "thirteen billion, one hundred twenty-one million, three hundred ten thousand, one hundred twenty-one".

Divisors: 1 43 10331 29537 444233 1270091 305146747 13121310121