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10131301313 = 710723395783
BaseRepresentation
bin10010110111101111…
…10110001111000001
3222011001211102122222
421123313312033001
5131222103120223
64353152540425
7506030432420
oct113367661701
928131742588
1010131301313
1143299456a1
121b68b51715
13c55c70363
146c17812b7
153e46970c8
hex25bdf63c1

10131301313 has 16 divisors (see below), whose sum is σ = 11693859840. Its totient is φ = 8597648976.

The previous prime is 10131301309. The next prime is 10131301319. The reversal of 10131301313 is 31310313101.

It is not a de Polignac number, because 10131301313 - 22 = 10131301309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131301291 and 10131301300.

It is not an unprimeable number, because it can be changed into a prime (10131301319) 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, 1749020 + ... + 1754802.

It is an arithmetic number, because the mean of its divisors is an integer number (730866240).

Almost surely, 210131301313 is an apocalyptic number.

It is an amenable number.

10131301313 is a deficient number, since it is larger than the sum of its proper divisors (1562558527).

10131301313 is a wasteful number, since it uses less digits than its factorization.

10131301313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8236.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 10131301313 its reverse (31310313101), we get a palindrome (41441614414).

The spelling of 10131301313 in words is "ten billion, one hundred thirty-one million, three hundred one thousand, three hundred thirteen".

Divisors: 1 7 107 749 2339 5783 16373 40481 250273 618781 1751911 4331467 13526437 94685059 1447328759 10131301313