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13001331321231 = 311563699786389
BaseRepresentation
bin1011110100110001101110…
…1111000010100110001111
31201000220201010121122200020
42331030123233002212033
53201003211304234411
643352421255233223
72511213052552401
oct275143357024617
951026633548606
1013001331321231
114162919650080
12155b8b3678813
1373403573b866
1432d3a6b7ab71
151782db4b2606
hexbd31bbc298f

13001331321231 has 16 divisors (see below), whose sum is σ = 18944617150080. Its totient is φ = 7865599001120.

The previous prime is 13001331321197. The next prime is 13001331321241. The reversal of 13001331321231 is 13212313310031.

It is a cyclic number.

It is not a de Polignac number, because 13001331321231 - 210 = 13001331320207 is a prime.

It is a super-2 number, since 2×130013313212312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001331321241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349874616 + ... + 349911773.

It is an arithmetic number, because the mean of its divisors is an integer number (1184038571880).

Almost surely, 213001331321231 is an apocalyptic number.

13001331321231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13001331321231 is a deficient number, since it is larger than the sum of its proper divisors (5943285828849).

13001331321231 is a wasteful number, since it uses less digits than its factorization.

13001331321231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699786966.

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

Adding to 13001331321231 its reverse (13212313310031), we get a palindrome (26213644631262).

The spelling of 13001331321231 in words is "thirteen trillion, one billion, three hundred thirty-one million, three hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 11 33 563 1689 6193 18579 699786389 2099359167 7697650279 23092950837 393979737007 1181939211021 4333777107077 13001331321231