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13201330121213 = 134165937584179
BaseRepresentation
bin1100000000011010110010…
…0101111010100111111101
31201202000221101122101001112
43000012230211322213331
53212242311002334323
644024335103451405
72531523160400663
oct300065445724775
951660841571045
1013201330121213
11422a71a771723
12159260a8b6b65
13749b5972a760
14338d3aa28c33
1517d5e479b178
hexc01ac97a9fd

13201330121213 has 16 divisors (see below), whose sum is σ = 14585668574400. Its totient is φ = 11870586779520.

The previous prime is 13201330121209. The next prime is 13201330121227. The reversal of 13201330121213 is 31212103310231.

It is a cyclic number.

It is not a de Polignac number, because 13201330121213 - 22 = 13201330121209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201330121293) 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 15 ways as a sum of consecutive naturals, for example, 18440843 + ... + 19143336.

It is an arithmetic number, because the mean of its divisors is an integer number (911604285900).

Almost surely, 213201330121213 is an apocalyptic number.

13201330121213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13201330121213 is a deficient number, since it is larger than the sum of its proper divisors (1384338453187).

13201330121213 is a wasteful number, since it uses less digits than its factorization.

13201330121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37584892.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13201330121213 its reverse (31212103310231), we get a palindrome (44413433431444).

The spelling of 13201330121213 in words is "thirteen trillion, two hundred one billion, three hundred thirty million, one hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 13 41 533 659 8567 27019 351247 37584179 488594327 1540951339 20032367407 24767973961 321983661493 1015486932401 13201330121213