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13313641331 = 31101242101
BaseRepresentation
bin11000110011000111…
…00000101101110011
31021100211222001111002
430121203200231303
5204231243010311
610041033312215
7650632040564
oct143143405563
937324861432
1013313641331
115712226871
1226b686566b
1313423678a3
1490429016b
1552dc5793b
hex3198e0b73

13313641331 has 12 divisors (see below), whose sum is σ = 13880860992. Its totient is φ = 12756300000.

The previous prime is 13313641321. The next prime is 13313641343. The reversal of 13313641331 is 13314631331.

13313641331 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 13313641331 - 218 = 13313379187 is a prime.

It is a super-2 number, since 2×133136413312 (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 = 13313641294 and 13313641303.

It is not an unprimeable number, because it can be changed into a prime (13313641321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295181 + ... + 337281.

It is an arithmetic number, because the mean of its divisors is an integer number (1156738416).

Almost surely, 213313641331 is an apocalyptic number.

13313641331 is a deficient number, since it is larger than the sum of its proper divisors (567219661).

13313641331 is an equidigital number, since it uses as much as digits as its factorization.

13313641331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42334 (or 42233 counting only the distinct ones).

The product of its digits is 5832, while the sum is 29.

The spelling of 13313641331 in words is "thirteen billion, three hundred thirteen million, six hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 31 101 3131 10201 42101 316231 1305131 4252201 131818231 429472301 13313641331