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13131232321 = 173101374929
BaseRepresentation
bin11000011101010111…
…01011010001000001
31020220010201201100211
430032223223101001
5203343043413241
610010555514121
7643255430104
oct141653532101
936803651324
1013131232321
115629269219
122665758941
13131362c36c
148c7d6a73b
1551cc25781
hex30eaeb441

13131232321 has 8 divisors (see below), whose sum is σ = 13220349480. Its totient is φ = 13042267392.

The previous prime is 13131232249. The next prime is 13131232333. The reversal of 13131232321 is 12323213131.

It can be written as a sum of positive squares in 4 ways, for example, as 3965850625 + 9165381696 = 62975^2 + 95736^2 .

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 13131232321 - 215 = 13131199553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13131232292 and 13131232301.

It is not an unprimeable number, because it can be changed into a prime (13131232721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137785 + ... + 212713.

It is an arithmetic number, because the mean of its divisors is an integer number (1652543685).

Almost surely, 213131232321 is an apocalyptic number.

It is an amenable number.

13131232321 is a deficient number, since it is larger than the sum of its proper divisors (89117159).

13131232321 is a wasteful number, since it uses less digits than its factorization.

13131232321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76115.

The product of its digits is 648, while the sum is 22.

Adding to 13131232321 its reverse (12323213131), we get a palindrome (25454445452).

The spelling of 13131232321 in words is "thirteen billion, one hundred thirty-one million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 173 1013 74929 175249 12962717 75903077 13131232321