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1310111312301 = 3211104021127219
BaseRepresentation
bin10011000100001000101…
…110000010100110101101
311122020121220120100010100
4103010020232002212231
5132431101443443201
62441505024101313
7163436531262111
oct23041056024655
94566556510110
101310111312301
11465684754840
12191aa9764839
1396709b8937c
14475a4405741
152412b96e886
hex13108b829ad

1310111312301 has 24 divisors (see below), whose sum is σ = 2064453899040. Its totient is φ = 793992981600.

The previous prime is 1310111312249. The next prime is 1310111312317. The reversal of 1310111312301 is 1032131110131.

1310111312301 is a `hidden beast` number, since 1 + 310 + 1 + 11 + 312 + 30 + 1 = 666.

It is not a de Polignac number, because 1310111312301 - 225 = 1310077757869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310111312351) 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 23 ways as a sum of consecutive naturals, for example, 10234470 + ... + 10361688.

It is an arithmetic number, because the mean of its divisors is an integer number (86018912460).

Almost surely, 21310111312301 is an apocalyptic number.

1310111312301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310111312301 is a deficient number, since it is larger than the sum of its proper divisors (754342586739).

1310111312301 is a wasteful number, since it uses less digits than its factorization.

1310111312301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231257 (or 231254 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1310111312301 its reverse (1032131110131), we get a palindrome (2342242422432).

The spelling of 1310111312301 in words is "one trillion, three hundred ten billion, one hundred eleven million, three hundred twelve thousand, three hundred one".

Divisors: 1 3 9 11 33 99 104021 127219 312063 381657 936189 1144231 1144971 1399409 3432693 4198227 10298079 12594681 13233447599 39700342797 119101028391 145567923589 436703770767 1310111312301