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1313320131321 = 31182398349193
BaseRepresentation
bin10011000111000111111…
…110101101101011111001
311122112220112112020022020
4103013013332231223321
5133004134423200241
62443155252145053
7163612203632442
oct23070776555371
94575815466266
101313320131321
11466a80a80a90
12192644308189
1396acb8c5053
14477ca6482c9
1524268510b66
hex131c7fadaf9

1313320131321 has 32 divisors (see below), whose sum is σ = 1914589550592. Its totient is φ = 794159583360.

The previous prime is 1313320131293. The next prime is 1313320131323. The reversal of 1313320131321 is 1231310233131.

It is not a de Polignac number, because 1313320131321 - 26 = 1313320131257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313320131291 and 1313320131300.

It is not an unprimeable number, because it can be changed into a prime (1313320131323) 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, 26672701 + ... + 26721893.

It is an arithmetic number, because the mean of its divisors is an integer number (59830923456).

Almost surely, 21313320131321 is an apocalyptic number.

1313320131321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1313320131321 is a deficient number, since it is larger than the sum of its proper divisors (601269419271).

1313320131321 is a wasteful number, since it uses less digits than its factorization.

1313320131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51013.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1313320131321 its reverse (1231310233131), we get a palindrome (2544630364452).

The spelling of 1313320131321 in words is "one trillion, three hundred thirteen billion, three hundred twenty million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 823 983 2469 2949 9053 10813 27159 32439 49193 147579 541123 809009 1623369 2427027 8899099 26697297 40485839 48356719 121457517 145070157 445344229 531923909 1336032687 1595771727 39797579737 119392739211 437773377107 1313320131321