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13213030313133 = 337479771457161
BaseRepresentation
bin1100000001000110010111…
…1110100110110010101101
31201210011010210121201001000
43000101211332212302231
53212440241230010013
644033552103310513
72532416131364460
oct300214576466255
951704123551030
1013213030313133
114234684170022
12159493514b439
1374aca2730941
1433972a8c32d7
1517da7ba49973
hexc0465fa6cad

13213030313133 has 32 divisors (see below), whose sum is σ = 22371749899520. Its totient is φ = 7550140481280.

The previous prime is 13213030313101. The next prime is 13213030313141. The reversal of 13213030313133 is 33131303031231.

13213030313133 is a `hidden beast` number, since 1 + 3 + 213 + 0 + 3 + 0 + 313 + 133 = 666.

13213030313133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13213030313133 - 25 = 13213030313101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13213030313097 and 13213030313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213030313533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8339073 + ... + 9796233.

It is an arithmetic number, because the mean of its divisors is an integer number (699117184360).

Almost surely, 213213030313133 is an apocalyptic number.

It is an amenable number.

13213030313133 is a deficient number, since it is larger than the sum of its proper divisors (9158719586387).

13213030313133 is a wasteful number, since it uses less digits than its factorization.

13213030313133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505154 (or 1505148 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13213030313133 its reverse (33131303031231), we get a palindrome (46344333344364).

The spelling of 13213030313133 in words is "thirteen trillion, two hundred thirteen billion, thirty million, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 189 47977 143931 335839 431793 1007517 1295379 1457161 3022551 4371483 9067653 10200127 13114449 30600381 39343347 91801143 275403429 69910213297 209730639891 489371493079 629191919673 1468114479237 1887575759019 4404343437711 13213030313133