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13331301031 = 149109182009
BaseRepresentation
bin11000110101001101…
…11000001010100111
31021102002012021001001
430122212320022213
5204300303113111
610042504014131
7651235121566
oct143246701247
937362167031
1013331301031
115721198864
122700761347
131345c0ba09
14906769bdd
155305951c1
hex31a9b82a7

13331301031 has 8 divisors (see below), whose sum is σ = 13433238000. Its totient is φ = 13229530560.

The previous prime is 13331301019. The next prime is 13331301047. The reversal of 13331301031 is 13010313331.

It is a happy number.

13331301031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13331301031 - 27 = 13331300903 is a prime.

It is a super-2 number, since 2×133313010312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331301091) 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 7 ways as a sum of consecutive naturals, for example, 121555 + ... + 203563.

It is an arithmetic number, because the mean of its divisors is an integer number (1679154750).

Almost surely, 213331301031 is an apocalyptic number.

13331301031 is a deficient number, since it is larger than the sum of its proper divisors (101936969).

13331301031 is a wasteful number, since it uses less digits than its factorization.

13331301031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83249.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 13331301031 its reverse (13010313331), we get a palindrome (26341614362).

It can be divided in two parts, 1333130 and 1031, that added together give a triangular number (1334161 = T1633).

The spelling of 13331301031 in words is "thirteen billion, three hundred thirty-one million, three hundred one thousand, thirty-one".

Divisors: 1 149 1091 82009 162559 12219341 89471819 13331301031