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13131311103 = 321926596133
BaseRepresentation
bin11000011101010111…
…11110011111111111
31020220010212201102200
430032223332133333
5203343103423403
610011001322543
7643256205561
oct141653763777
936803781380
1013131311103
115629312429
122665796453
131313659191
148c7d8b331
1551cc3dca3
hex30eafe7ff

13131311103 has 36 divisors (see below), whose sum is σ = 20051923320. Its totient is φ = 8279524512.

The previous prime is 13131311057. The next prime is 13131311113. The reversal of 13131311103 is 30111313131.

It is not a de Polignac number, because 13131311103 - 217 = 13131180031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131311113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2138025 + ... + 2144157.

It is an arithmetic number, because the mean of its divisors is an integer number (556997870).

Almost surely, 213131311103 is an apocalyptic number.

13131311103 is a deficient number, since it is larger than the sum of its proper divisors (6920612217).

13131311103 is a wasteful number, since it uses less digits than its factorization.

13131311103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13131311103 its reverse (30111313131), we get a palindrome (43242624234).

The spelling of 13131311103 in words is "thirteen billion, one hundred thirty-one million, three hundred eleven thousand, one hundred three".

Divisors: 1 3 9 19 57 171 361 659 1083 1977 3249 5931 6133 12521 18399 37563 55197 112689 116527 237899 349581 713697 1048743 2141091 2214013 4041647 6642039 12124941 19926117 36374823 76791293 230373879 691121637 1459034567 4377103701 13131311103