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13431013332121 = 7111011727017273
BaseRepresentation
bin1100001101110010011011…
…0001110101010010011001
31202112222210102010101222201
43003130212301311102121
53230023203403111441
644322042232050201
72554234013440330
oct303344661652231
952488712111881
1013431013332121
114309073975590
12160b02b233961
137657015b6148
143460c9050d17
15184588b20c31
hexc3726c75499

13431013332121 has 16 divisors (see below), whose sum is σ = 16910953147008. Its totient is φ = 10362103632000.

The previous prime is 13431013332059. The next prime is 13431013332181. The reversal of 13431013332121 is 12123331013431.

13431013332121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13431013332121 - 213 = 13431013323929 is a prime.

It is a super-2 number, since 2×134310133321212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13431013332121.

It is not an unprimeable number, because it can be changed into a prime (13431013332181) 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, 863500860 + ... + 863516413.

It is an arithmetic number, because the mean of its divisors is an integer number (1056934571688).

Almost surely, 213431013332121 is an apocalyptic number.

13431013332121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13431013332121 is a deficient number, since it is larger than the sum of its proper divisors (3479939814887).

13431013332121 is a wasteful number, since it uses less digits than its factorization.

13431013332121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727017392.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 13431013332121 its reverse (12123331013431), we get a palindrome (25554344345552).

It can be divided in two parts, 134310 and 13332121, that added together give a palindrome (13466431).

The spelling of 13431013332121 in words is "thirteen trillion, four hundred thirty-one billion, thirteen million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 77 101 707 1111 7777 1727017273 12089120911 18997190003 132980330021 174428744573 1221001212011 1918716190303 13431013332121