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13232013021331 = 1373149631148301
BaseRepresentation
bin1100000010001101000101…
…1011111001000010010011
31201211222010201221012021121
43000203101123321002103
53213243130313140311
644050411452503111
72533660421631166
oct300432133710223
951758121835247
1013232013021331
114241735435715
12159855247aa97
1374ca09425860
1433a60ba39add
1517e2dd31ab71
hexc08d16f9093

13232013021331 has 32 divisors (see below), whose sum is σ = 14565154665600. Its totient is φ = 11946953088000.

The previous prime is 13232013021323. The next prime is 13232013021389. The reversal of 13232013021331 is 13312031023231.

It is a cyclic number.

It is not a de Polignac number, because 13232013021331 - 23 = 13232013021323 is a prime.

It is a super-2 number, since 2×132320130213312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13232013021296 and 13232013021305.

It is not an unprimeable number, because it can be changed into a prime (13232013021631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89149881 + ... + 89298181.

It is an arithmetic number, because the mean of its divisors is an integer number (455161083300).

Almost surely, 213232013021331 is an apocalyptic number.

13232013021331 is a deficient number, since it is larger than the sum of its proper divisors (1333141644269).

13232013021331 is a wasteful number, since it uses less digits than its factorization.

13232013021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149167.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13232013021331 its reverse (13312031023231), we get a palindrome (26544044044562).

The spelling of 13232013021331 in words is "thirteen trillion, two hundred thirty-two billion, thirteen million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 13 73 149 631 949 1937 8203 10877 46063 94019 141401 148301 598819 1222247 1927913 6863387 10825973 22096849 89224031 93577931 140737649 287259037 1216513103 1613069977 6831188963 13943111719 20969909701 88805456519 181260452347 1017847155487 13232013021331