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1313201132113 = 135913123356093
BaseRepresentation
bin10011000111000000111…
…000110001001001010001
311122112121020121110002011
4103013000320301021101
5133003413442211423
62443135401422521
7163606230310123
oct23070070611121
94575536543064
101313201132113
11466a1a893132
1219261049aa41
1396ab005b810
14477b890d213
152425cd56b0d
hex131c0e31251

1313201132113 has 32 divisors (see below), whose sum is σ = 1455410436480. Its totient is φ = 1177447365120.

The previous prime is 1313201132029. The next prime is 1313201132119. The reversal of 1313201132113 is 3112311023131.

It is not a de Polignac number, because 1313201132113 - 217 = 1313201001041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313201132119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23383095 + ... + 23439187.

It is an arithmetic number, because the mean of its divisors is an integer number (45481576140).

Almost surely, 21313201132113 is an apocalyptic number.

1313201132113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313201132113 is a deficient number, since it is larger than the sum of its proper divisors (142209304367).

1313201132113 is a wasteful number, since it uses less digits than its factorization.

1313201132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56529.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1313201132113 its reverse (3112311023131), we get a palindrome (4425512155244).

The spelling of 1313201132113 in words is "one trillion, three hundred thirteen billion, two hundred one million, one hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 13 59 131 233 767 1703 3029 7729 13747 30523 56093 100477 178711 396799 729209 1800857 3309487 7348183 13069669 23411141 43023331 95526379 169905697 433542797 771110471 1712126639 5636056361 10024436123 22257646307 101015471701 1313201132113