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13201201320311 = 318321187242161
BaseRepresentation
bin1100000000011010010011…
…1010100101000101110111
31201202000121102021121102202
43000012210322211011313
53212242030014222221
644024314223055115
72531520034533104
oct300064472450567
951660542247382
1013201201320311
11422a663a996a4
12159259374149b
13749b38b419c4
14338d2789baab
1517d5d8307d0b
hexc01a4ea5177

13201201320311 has 16 divisors (see below), whose sum is σ = 13791935689728. Its totient is φ = 12620788329600.

The previous prime is 13201201320283. The next prime is 13201201320319. The reversal of 13201201320311 is 11302310210231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13201201320311 - 26 = 13201201320247 is a prime.

It is a super-2 number, since 2×132012013203112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201201320319) 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, 54393071 + ... + 54635231.

It is an arithmetic number, because the mean of its divisors is an integer number (861995980608).

Almost surely, 213201201320311 is an apocalyptic number.

13201201320311 is a deficient number, since it is larger than the sum of its proper divisors (590734369417).

13201201320311 is a wasteful number, since it uses less digits than its factorization.

13201201320311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263462.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13201201320311 its reverse (11302310210231), we get a palindrome (24503511530542).

The spelling of 13201201320311 in words is "thirteen trillion, two hundred one billion, two hundred one million, three hundred twenty thousand, three hundred eleven".

Divisors: 1 31 83 2573 21187 242161 656797 1758521 7506991 20099363 54514151 623080253 5130665107 159050618317 425845203881 13201201320311