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132313321013 = 241756579677
BaseRepresentation
bin111101100111001111…
…1010000111000110101
3110122112010212010110212
41323032133100320311
54131434202233023
6140441153355205
712362563446326
oct1731637207065
9418463763425
10132313321013
1151128469485
1221787568b05
13c628232033
14659280444d
153695eb6e78
hex1ece7d0e35

132313321013 has 8 divisors (see below), whose sum is σ = 132405143832. Its totient is φ = 132221533696.

The previous prime is 132313320983. The next prime is 132313321037. The reversal of 132313321013 is 310123313231.

It can be written as a sum of positive squares in 4 ways, for example, as 37955611684 + 94357709329 = 194822^2 + 307177^2 .

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 132313321013 - 28 = 132313320757 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 132313321013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313321043) 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, 13668131 + ... + 13677807.

It is an arithmetic number, because the mean of its divisors is an integer number (16550642979).

Almost surely, 2132313321013 is an apocalyptic number.

It is an amenable number.

132313321013 is a deficient number, since it is larger than the sum of its proper divisors (91822819).

132313321013 is an equidigital number, since it uses as much as digits as its factorization.

132313321013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17751.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 132313321013 its reverse (310123313231), we get a palindrome (442436634244).

The spelling of 132313321013 in words is "one hundred thirty-two billion, three hundred thirteen million, three hundred twenty-one thousand, thirteen".

Divisors: 1 2417 5657 9677 13672969 23389309 54742789 132313321013