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1331313123021 = 37414615775813
BaseRepresentation
bin10011010111111000011…
…100100001111011001101
311201021100111111220202020
4103113320130201323031
5133303012124414041
62455332524320353
7165120115555260
oct23277034417315
94637314456666
101331313123021
11473674606a62
121960260a30b9
13987085406bb
144861616ccd7
152496ce82866
hex135f8721ecd

1331313123021 has 64 divisors (see below), whose sum is σ = 2086623576576. Its totient is φ = 739174809600.

The previous prime is 1331313123017. The next prime is 1331313123061. The reversal of 1331313123021 is 1203213131331.

It is not a de Polignac number, because 1331313123021 - 22 = 1331313123017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331313122982 and 1331313123000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331313123061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229020511 + ... + 229026323.

It is an arithmetic number, because the mean of its divisors is an integer number (32603493384).

Almost surely, 21331313123021 is an apocalyptic number.

It is an amenable number.

1331313123021 is a deficient number, since it is larger than the sum of its proper divisors (755310453555).

1331313123021 is a wasteful number, since it uses less digits than its factorization.

1331313123021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6902.

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

Adding to 1331313123021 its reverse (1203213131331), we get a palindrome (2534526254352).

The spelling of 1331313123021 in words is "one trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred twenty-three thousand, twenty-one".

Divisors: 1 3 7 21 41 123 287 461 577 861 1383 1731 3227 4039 5813 9681 12117 17439 18901 23657 40691 56703 70971 122073 132307 165599 238333 265997 396921 496797 714999 797991 1668331 1861979 2679793 3354101 5004993 5585937 8039379 10062303 10905877 18758551 23478707 32717631 56275653 70436121 76341139 109871513 137518141 229023417 329614539 412554423 769100591 962626987 1546240561 2307301773 2887880961 4638721683 10823683927 32471051781 63395863001 190187589003 443771041007 1331313123021