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1313131020003 = 321187541151517
BaseRepresentation
bin10011000110111100101…
…101010011111011100011
311122112102100200101100100
4103012330231103323203
5133003243020120003
62443124414553443
7163604416335465
oct23067455237343
94575370611310
101313131020003
11466994255940
121925b0b08883
1396a9b680c6a
14477ad49c135
1524256b07ba3
hex131bcb53ee3

1313131020003 has 24 divisors (see below), whose sum is σ = 2069213445936. Its totient is φ = 795822638400.

The previous prime is 1313131020001. The next prime is 1313131020023. The reversal of 1313131020003 is 3000201313131.

It is a happy number.

It is not a de Polignac number, because 1313131020003 - 21 = 1313131020001 is a prime.

It is a super-2 number, since 2×13131310200032 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313131020001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8590801 + ... + 8742317.

It is an arithmetic number, because the mean of its divisors is an integer number (86217226914).

Almost surely, 21313131020003 is an apocalyptic number.

1313131020003 is a deficient number, since it is larger than the sum of its proper divisors (756082425933).

1313131020003 is a wasteful number, since it uses less digits than its factorization.

1313131020003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239075 (or 239072 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313131020003 its reverse (3000201313131), we get a palindrome (4313332333134).

The spelling of 1313131020003 in words is "one trillion, three hundred thirteen billion, one hundred thirty-one million, twenty thousand, three".

Divisors: 1 3 9 11 33 99 87541 151517 262623 454551 787869 962951 1363653 1666687 2888853 5000061 8666559 15000183 13263949697 39791849091 119375547273 145903446667 437710340001 1313131020003