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13213231031 = 7111327912853
BaseRepresentation
bin11000100111001000…
…11110011110110111
31021002212000200110002
430103210132132313
5204030041343111
610023045221515
7645302416310
oct142344363667
937085020402
1013213231031
115670585050
12268910189b
13132760c400
148d4bd3607
1552502163b
hex31391e7b7

13213231031 has 48 divisors (see below), whose sum is σ = 18065525760. Its totient is φ = 9382988160.

The previous prime is 13213230949. The next prime is 13213231043. The reversal of 13213231031 is 13013231231.

It is not a de Polignac number, because 13213231031 - 218 = 13212968887 is a prime.

It is a super-2 number, since 2×132132310312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13213230994 and 13213231012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213231051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021601 + ... + 1034453.

It is an arithmetic number, because the mean of its divisors is an integer number (376365120).

Almost surely, 213213231031 is an apocalyptic number.

13213231031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13213231031 is a deficient number, since it is larger than the sum of its proper divisors (4852294729).

13213231031 is a wasteful number, since it uses less digits than its factorization.

13213231031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12976 (or 12963 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13213231031 its reverse (13013231231), we get a palindrome (26226462262).

The spelling of 13213231031 in words is "thirteen billion, two hundred thirteen million, two hundred thirty-one thousand, thirty-one".

Divisors: 1 7 11 13 77 79 91 143 169 553 869 1001 1027 1183 1859 6083 7189 11297 12853 13013 13351 79079 89971 93457 141383 146861 167089 989681 1015387 1028027 1169623 1837979 2172157 7107709 11169257 12865853 13200031 15205099 23893727 78184799 92400217 145200341 167256089 171600403 1016402387 1201202821 1887604433 13213231031