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13132330401003 = 3114631247368909
BaseRepresentation
bin1011111100011001101111…
…1000110111110011101011
31201111102211200111102002120
42333012123320313303223
53210130003040313003
643532524224202323
72523531250425642
oct277063370676353
951442750442076
1013132330401003
114203432174670
121581172a693a3
137434b15ba748
14335872bd4359
1517b906dc4853
hexbf19be37ceb

13132330401003 has 32 divisors (see below), whose sum is σ = 19144640148480. Its totient is φ = 7941046122240.

The previous prime is 13132330400971. The next prime is 13132330401017. The reversal of 13132330401003 is 30010403323131.

It is a happy number.

It is not a de Polignac number, because 13132330401003 - 25 = 13132330400971 is a prime.

It is a super-2 number, since 2×131323304010032 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13132330401103) 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 31 ways as a sum of consecutive naturals, for example, 190540513 + ... + 190609421.

It is an arithmetic number, because the mean of its divisors is an integer number (598270004640).

Almost surely, 213132330401003 is an apocalyptic number.

13132330401003 is a deficient number, since it is larger than the sum of its proper divisors (6012309747477).

13132330401003 is a wasteful number, since it uses less digits than its factorization.

13132330401003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81859.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13132330401003 its reverse (30010403323131), we get a palindrome (43142733724134).

The spelling of 13132330401003 in words is "thirteen trillion, one hundred thirty-two billion, three hundred thirty million, four hundred one thousand, three".

Divisors: 1 3 11 33 463 1389 5093 12473 15279 37419 68909 137203 206727 411609 757999 2273997 5774999 17324997 31904867 63524989 95714601 190574967 350953537 859501957 1052860611 2578505871 9454521527 28363564581 397949406091 1193848218273 4377443467001 13132330401003