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13201341133431 = 311715634375217
BaseRepresentation
bin1100000000011010110100…
…1111111011001001110111
31201202000222011100211222110
43000012231033323021313
53212242321312232211
644024340135502103
72531523353114403
oct300065517731167
951660864324873
1013201341133431
11422a725a03330
121592612527933
13749b5bab4c69
14338d3c294103
1517d5e5723ea6
hexc01ad3fb277

13201341133431 has 16 divisors (see below), whose sum is σ = 19472400753408. Its totient is φ = 7888125302400.

The previous prime is 13201341133397. The next prime is 13201341133433. The reversal of 13201341133431 is 13433114310231.

It is a happy number.

It is not a de Polignac number, because 13201341133431 - 210 = 13201341132407 is a prime.

It is a super-4 number, since 4×132013411334314 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201341133433) 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, 2817185266 + ... + 2817189951.

It is an arithmetic number, because the mean of its divisors is an integer number (1217025047088).

Almost surely, 213201341133431 is an apocalyptic number.

13201341133431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13201341133431 is a deficient number, since it is larger than the sum of its proper divisors (6271059619977).

13201341133431 is a wasteful number, since it uses less digits than its factorization.

13201341133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5634375302.

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 13201341133431 its reverse (13433114310231), we get a palindrome (26634455443662).

The spelling of 13201341133431 in words is "thirteen trillion, two hundred one billion, three hundred forty-one million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 11 33 71 213 781 2343 5634375217 16903125651 61978127387 185934382161 400040640407 1200121921221 4400447044477 13201341133431