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13133210231331 = 335572837307817
BaseRepresentation
bin1011111100011101000001…
…0101001010001000100011
31201111112010000001102102000
42333013100111022020203
53210133303304400311
643533151414055043
72523562123030641
oct277072025121043
951445100042360
1013133210231331
114203843880173
12158137964a483
137435c19716c8
143359179c0191
1517b95926a056
hexbf1d054a223

13133210231331 has 32 divisors (see below), whose sum is σ = 19498472642880. Its totient is φ = 8736645489408.

The previous prime is 13133210231303. The next prime is 13133210231347. The reversal of 13133210231331 is 13313201233131.

13133210231331 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 321 + 0 + 2 + 3 + 1 + 331 = 666.

It is not a de Polignac number, because 13133210231331 - 229 = 13132673360419 is a prime.

It is a super-3 number, since 3×131332102313313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 13133210231295 and 13133210231304.

It is not an unprimeable number, because it can be changed into a prime (13133210231371) 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, 42511735 + ... + 42819551.

It is an arithmetic number, because the mean of its divisors is an integer number (609327270090).

Almost surely, 213133210231331 is an apocalyptic number.

13133210231331 is a deficient number, since it is larger than the sum of its proper divisors (6365262411549).

13133210231331 is a wasteful number, since it uses less digits than its factorization.

13133210231331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311220 (or 311214 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13133210231331 its reverse (13313201233131), we get a palindrome (26446411464462).

The spelling of 13133210231331 in words is "thirteen trillion, one hundred thirty-three billion, two hundred ten million, two hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 557 1671 2837 5013 8511 15039 25533 76599 307817 923451 1580209 2770353 4740627 8311059 14221881 42665643 171454069 514362207 873276829 1543086621 2619830487 4629259863 7859491461 23578474383 486415193753 1459245581259 4377736743777 13133210231331