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313310010333131 = 71953197225621527
BaseRepresentation
bin100011100111101000010101…
…1110111101101011111001011
31112002100010220022120202101122
41013033100223313231133023
5312031232400121130011
63030204344242105455
7122664621062553620
oct10717205367553713
91462303808522348
10313310010333131
11909150359489a9
122b1816b464b28b
13105a9012a86676
1457523dd252347
152634da44043db
hex11cf42bded7cb

313310010333131 has 32 divisors (see below), whose sum is σ = 385975260380160. Its totient is φ = 248349736043136.

The previous prime is 313310010333101. The next prime is 313310010333167. The reversal of 313310010333131 is 131333010013313.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-313310010333131 is a prime.

It is a super-2 number, since 2×3133100103331312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313310010333131.

It is not an unprimeable number, because it can be changed into a prime (313310010333101) 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, 111422111 + ... + 114199416.

It is an arithmetic number, because the mean of its divisors is an integer number (12061726886880).

Almost surely, 2313310010333131 is an apocalyptic number.

313310010333131 is a deficient number, since it is larger than the sum of its proper divisors (72665250047029).

313310010333131 is a wasteful number, since it uses less digits than its factorization.

313310010333131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225621803.

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 313310010333131 its reverse (131333010013313), we get a palindrome (444643020346444).

The spelling of 313310010333131 in words is "three hundred thirteen trillion, three hundred ten billion, ten million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 7 19 53 133 197 371 1007 1379 3743 7049 10441 26201 73087 198379 1388653 225621527 1579350689 4286809013 11957940931 30007663091 44447440819 83705586517 227200877689 311132085733 844501375561 1590406143823 2355714363407 5911509628927 16490000543849 44758572904733 313310010333131