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1313330331 = 31983277601
BaseRepresentation
bin100111001000111…
…1101010010011011
310101112021002112010
41032101331102123
510142203032311
6334153121003
744355060255
oct11621752233
93345232463
101313330331
11614382575
123079b9163
1317c124651
14c65d0cd5
157a474da6
hex4e47d49b

1313330331 has 16 divisors (see below), whose sum is σ = 1865485440. Its totient is φ = 819475200.

The previous prime is 1313330329. The next prime is 1313330377. The reversal of 1313330331 is 1330333131.

It is not a de Polignac number, because 1313330331 - 21 = 1313330329 is a prime.

It is a super-2 number, since 2×13133303312 = 3449673116649139122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313330298 and 1313330307.

It is not an unprimeable number, because it can be changed into a prime (1313330131) 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 15 ways as a sum of consecutive naturals, for example, 134070 + ... + 143531.

It is an arithmetic number, because the mean of its divisors is an integer number (116592840).

Almost surely, 21313330331 is an apocalyptic number.

1313330331 is a deficient number, since it is larger than the sum of its proper divisors (552155109).

1313330331 is a wasteful number, since it uses less digits than its factorization.

1313330331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277706.

The product of its (nonzero) digits is 729, while the sum is 21.

The square root of 1313330331 is about 36239.8997101261. The cubic root of 1313330331 is about 1095.1106220469.

Adding to 1313330331 its reverse (1330333131), we get a palindrome (2643663462).

The spelling of 1313330331 in words is "one billion, three hundred thirteen million, three hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 19 57 83 249 1577 4731 277601 832803 5274419 15823257 23040883 69122649 437776777 1313330331