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13132114121 = 732272743
BaseRepresentation
bin11000011101011110…
…00010100011001001
31020220012101111222002
430032233002203021
5203343310122441
610011030440345
7643266062000
oct141657024311
936805344862
1013132114121
115629810785
122665b030b5
13131387a839
148c8119c37
1551cd4bb9b
hex30ebc28c9

13132114121 has 24 divisors (see below), whose sum is σ = 15402883200. Its totient is φ = 11191428696.

The previous prime is 13132114067. The next prime is 13132114133. The reversal of 13132114121 is 12141123131.

It is not a de Polignac number, because 13132114121 - 222 = 13127919817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13132114093 and 13132114102.

It is not an unprimeable number, because it can be changed into a prime (13132114181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17674076 + ... + 17674818.

It is an arithmetic number, because the mean of its divisors is an integer number (641786800).

Almost surely, 213132114121 is an apocalyptic number.

It is an amenable number.

13132114121 is a deficient number, since it is larger than the sum of its proper divisors (2270769079).

13132114121 is an frugal number, since it uses more digits than its factorization.

13132114121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 977 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

Adding to 13132114121 its reverse (12141123131), we get a palindrome (25273237252).

The spelling of 13132114121 in words is "thirteen billion, one hundred thirty-two million, one hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 7 49 227 343 743 1589 5201 11123 36407 51529 77861 168661 254849 360703 1180627 2524921 8264389 17674447 38286047 57850723 268002329 1876016303 13132114121