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13210031313 = 332719671867
BaseRepresentation
bin11000100110110000…
…10001010011010001
31021002122000010021000
430103120101103101
5204023232000223
610022452452213
7645233261553
oct142330212321
937078003230
1013210031313
11566979a056
12268801a069
131326a5bb9b
148d45dd4d3
15524add543
hex3136114d1

13210031313 has 32 divisors (see below), whose sum is σ = 19673477120. Its totient is φ = 8760422160.

The previous prime is 13210031297. The next prime is 13210031323. The reversal of 13210031313 is 31313001231.

It is a happy number.

13210031313 is a `hidden beast` number, since 1 + 321 + 0 + 0 + 31 + 313 = 666.

It is not a de Polignac number, because 13210031313 - 24 = 13210031297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13210031323) 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, 7074606 + ... + 7076472.

It is an arithmetic number, because the mean of its divisors is an integer number (614796160).

Almost surely, 213210031313 is an apocalyptic number.

It is an amenable number.

13210031313 is a deficient number, since it is larger than the sum of its proper divisors (6463445807).

13210031313 is a wasteful number, since it uses less digits than its factorization.

13210031313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13210031313 its reverse (31313001231), we get a palindrome (44523032544).

The spelling of 13210031313 in words is "thirteen billion, two hundred ten million, thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 27 271 813 967 1867 2439 2901 5601 7317 8703 16803 26109 50409 262057 505957 786171 1517871 1805389 2358513 4553613 5416167 7075539 13660839 16248501 48745503 489260419 1467781257 4403343771 13210031313