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1330121013 = 31355761231
BaseRepresentation
bin100111101001000…
…0000100100110101
310102200212011000020
41033102000210311
510211002333023
6335553035353
744650561554
oct11722004465
93380764006
101330121013
11622900671
12311555b59
13182753070
14c8921d9b
157bb8ede3
hex4f480935

1330121013 has 16 divisors (see below), whose sum is σ = 1913377536. Its totient is φ = 817053120.

The previous prime is 1330120997. The next prime is 1330121059. The reversal of 1330121013 is 3101210331.

It is not a de Polignac number, because 1330121013 - 24 = 1330120997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1330120983 and 1330121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330121213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8893 + ... + 52338.

It is an arithmetic number, because the mean of its divisors is an integer number (119586096).

Almost surely, 21330121013 is an apocalyptic number.

1330121013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1330121013 is a deficient number, since it is larger than the sum of its proper divisors (583256523).

1330121013 is a wasteful number, since it uses less digits than its factorization.

1330121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61804.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1330121013 is about 36470.8241338196. The cubic root of 1330121013 is about 1099.7578014975.

Adding to 1330121013 its reverse (3101210331), we get a palindrome (4431331344).

The spelling of 1330121013 in words is "one billion, three hundred thirty million, one hundred twenty-one thousand, thirteen".

Divisors: 1 3 13 39 557 1671 7241 21723 61231 183693 796003 2388009 34105667 102317001 443373671 1330121013