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132312313322131 = 1725346318657161
BaseRepresentation
bin11110000101011001011100…
…011011110101101010010011
3122100110221012121110201222211
4132011121130123311222103
5114320301104202302011
61145223234305212551
736604151316512425
oct3605313433655223
9570427177421884
10132312313322131
113918237854a498
1212a0b01a031157
1358a9cc7993487
142495d4324c815
151046b30c46b21
hex78565c6f5a93

132312313322131 has 24 divisors (see below), whose sum is σ = 143514472279104. Its totient is φ = 121915734420480.

The previous prime is 132312313322083. The next prime is 132312313322141. The reversal of 132312313322131 is 131223313213231.

It is not a de Polignac number, because 132312313322131 - 215 = 132312313289363 is a prime.

It is a super-2 number, since 2×1323123133221312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132312313322093 and 132312313322102.

It is not an unprimeable number, because it can be changed into a prime (132312313322141) 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, 2236810 + ... + 16420351.

It is an arithmetic number, because the mean of its divisors is an integer number (5979769678296).

Almost surely, 2132312313322131 is an apocalyptic number.

132312313322131 is a deficient number, since it is larger than the sum of its proper divisors (11202158956973).

132312313322131 is a wasteful number, since it uses less digits than its factorization.

132312313322131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18657711 (or 18657694 counting only the distinct ones).

The product of its digits is 11664, while the sum is 31.

Adding to 132312313322131 its reverse (131223313213231), we get a palindrome (263535626535362).

The spelling of 132312313322131 in words is "one hundred thirty-two trillion, three hundred twelve billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 17 53 289 463 901 7871 15317 24539 133807 417163 7091771 18657161 317171737 988829533 5391919529 8638265543 16810102061 146850514231 285771735037 457828073779 2496458741927 7783077254243 132312313322131