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313044422132013 = 311134011819718897
BaseRepresentation
bin100011100101101100101010…
…1100101001000000100101101
31112001101202101000112020100020
41013023121111211020010231
5312012404434031211023
63025442342221152353
7122636466415236435
oct10713312545100455
91461352330466306
10313044422132013
1190822437273510
122b13a1336bb6b9
1310589c68354440
1457436064652c5
15262d00cd38de3
hex11cb65594812d

313044422132013 has 32 divisors (see below), whose sum is σ = 491586141981312. Its totient is φ = 174693014016000.

The previous prime is 313044422132003. The next prime is 313044422132033. The reversal of 313044422132013 is 310231224440313.

It is not a de Polignac number, because 313044422132013 - 212 = 313044422127917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313044422132003) 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, 909687420 + ... + 910031477.

It is an arithmetic number, because the mean of its divisors is an integer number (15362066936916).

Almost surely, 2313044422132013 is an apocalyptic number.

313044422132013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313044422132013 is a deficient number, since it is larger than the sum of its proper divisors (178541719849299).

313044422132013 is a wasteful number, since it uses less digits than its factorization.

313044422132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819719325.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 313044422132013 its reverse (310231224440313), we get a palindrome (623275646572326).

The spelling of 313044422132013 in words is "three hundred thirteen trillion, forty-four billion, four hundred twenty-two million, one hundred thirty-two thousand, thirteen".

Divisors: 1 3 11 13 33 39 143 401 429 1203 4411 5213 13233 15639 57343 172029 1819718897 5459156691 20016907867 23656345661 60050723601 70969036983 260219802271 729707277697 780659406813 2189121833091 8026780054667 9486194610061 24080340164001 28458583830183 104348140710671 313044422132013