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1013310223133 = 131913131316569
BaseRepresentation
bin11101011111011011111…
…11101111001100011101
310120212112022221211002012
432233231333233030131
5113100224404120013
62053301442441005
7133131525532205
oct16575577571435
93525468854065
101013310223133
113608192275aa
12144477663165
1374729a07610
143708a087405
151b55a0461a8
hexebedfef31d

1013310223133 has 16 divisors (see below), whose sum is σ = 1157460427200. Its totient is φ = 879369229440.

The previous prime is 1013310223117. The next prime is 1013310223217. The reversal of 1013310223133 is 3313220133101.

It is not a de Polignac number, because 1013310223133 - 24 = 1013310223117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013310223099 and 1013310223108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013310223033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15625928 + ... + 15690641.

It is an arithmetic number, because the mean of its divisors is an integer number (72341276700).

Almost surely, 21013310223133 is an apocalyptic number.

1013310223133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013310223133 is a deficient number, since it is larger than the sum of its proper divisors (144150204067).

1013310223133 is a wasteful number, since it uses less digits than its factorization.

1013310223133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31316732.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1013310223133 its reverse (3313220133101), we get a palindrome (4326530356234).

The spelling of 1013310223133 in words is "one trillion, thirteen billion, three hundred ten million, two hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 13 19 131 247 1703 2489 32357 31316569 407115397 595014811 4102470539 7735192543 53332117007 77946940241 1013310223133