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13132131101 = 83158218447
BaseRepresentation
bin11000011101011110…
…00110101100011101
31020220012102101020222
430032233012230131
5203343311143401
610011031051125
7643266162335
oct141657065435
936805371228
1013132131101
115629822511
122665b10aa5
13131388549b
148c81220c5
1551cd51c1b
hex30ebc6b1d

13132131101 has 4 divisors (see below), whose sum is σ = 13290349632. Its totient is φ = 12973912572.

The previous prime is 13132131097. The next prime is 13132131149. The reversal of 13132131101 is 10113123131.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10113123131 = 83121844857.

It is a cyclic number.

It is not a de Polignac number, because 13132131101 - 22 = 13132131097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13132131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132131401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79109141 + ... + 79109306.

It is an arithmetic number, because the mean of its divisors is an integer number (3322587408).

Almost surely, 213132131101 is an apocalyptic number.

It is an amenable number.

13132131101 is a deficient number, since it is larger than the sum of its proper divisors (158218531).

13132131101 is an equidigital number, since it uses as much as digits as its factorization.

13132131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158218530.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13132131101 its reverse (10113123131), we get a palindrome (23245254232).

The spelling of 13132131101 in words is "thirteen billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 83 158218447 13132131101