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12013310032321 = 137179164753213
BaseRepresentation
bin1010111011010001000100…
…0100111011100111000001
31120112110110020020210122111
42232310101010323213001
53033311224332013241
641314501034135321
72346635010302323
oct256642104734701
946473406223574
1012013310032321
1139118a8366114
121420315281541
13691b09092860
142d76395ad613
1515c7616b3c81
hexaed1113b9c1

12013310032321 has 16 divisors (see below), whose sum is σ = 13285699176960. Its totient is φ = 10794630450240.

The previous prime is 12013310032307. The next prime is 12013310032379. The reversal of 12013310032321 is 12323001331021.

It is not a de Polignac number, because 12013310032321 - 225 = 12013276477889 is a prime.

It is a super-3 number, since 3×120133100323213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12013310032292 and 12013310032301.

It is not an unprimeable number, because it can be changed into a prime (12013310032021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82303690 + ... + 82449523.

It is an arithmetic number, because the mean of its divisors is an integer number (830356198560).

Almost surely, 212013310032321 is an apocalyptic number.

It is an amenable number.

12013310032321 is a deficient number, since it is larger than the sum of its proper divisors (1272389144639).

12013310032321 is a wasteful number, since it uses less digits than its factorization.

12013310032321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164753376.

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

Adding to 12013310032321 its reverse (12323001331021), we get a palindrome (24336311363342).

The spelling of 12013310032321 in words is "twelve trillion, thirteen billion, three hundred ten million, thirty-two thousand, three hundred twenty-one".

Divisors: 1 13 71 79 923 1027 5609 72917 164753213 2141791769 11697478123 13015503827 152067215599 169201549751 924100771717 12013310032321