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1314331031013 = 3711131079940529
BaseRepresentation
bin10011001000000100001…
…110111111010111100101
311122122111222201020222120
4103020010032333113211
5133013222220443023
62443443443220153
7163646230301040
oct23100416772745
94578458636876
101314331031013
1146744a669980
12192886977659
1396c3017a450
14478849d1c57
15242c71468e3
hex132043bf5e5

1314331031013 has 64 divisors (see below), whose sum is σ = 2353204224000. Its totient is φ = 630174735360.

The previous prime is 1314331031011. The next prime is 1314331031017. The reversal of 1314331031013 is 3101301334131.

It is not a de Polignac number, because 1314331031013 - 21 = 1314331031011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314331031011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32409133 + ... + 32449661.

It is an arithmetic number, because the mean of its divisors is an integer number (36768816000).

Almost surely, 21314331031013 is an apocalyptic number.

1314331031013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1314331031013 is a deficient number, since it is larger than the sum of its proper divisors (1038873192987).

1314331031013 is a wasteful number, since it uses less digits than its factorization.

1314331031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51362.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1314331031013 its reverse (3101301334131), we get a palindrome (4415632365144).

The spelling of 1314331031013 in words is "one trillion, three hundred fourteen billion, three hundred thirty-one million, thirty-one thousand, thirteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 10799 32397 40529 75593 118789 121587 140387 226779 283703 356367 421161 445819 526877 831523 851109 982709 1337457 1544257 1580631 2494569 2948127 3120733 3688139 4632771 5795647 9362199 10809799 11064417 17386941 32429397 40569529 121708587 437672671 1313018013 3063708697 4814399381 5689744723 9191126091 14443198143 17069234169 33700795667 39828213061 62587191953 101102387001 119484639183 187761575859 438110343671 1314331031013