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1313031331 = 103109116953
BaseRepresentation
bin100111001000011…
…0100010010100011
310101111200220101001
41032100310102203
510142114000311
6334142452431
744352403453
oct11620642243
93344626331
101313031331
11614198967
12307894117
1317c04b521
14c6553d63
157a4164c1
hex4e4344a3

1313031331 has 8 divisors (see below), whose sum is σ = 1337953760. Its totient is φ = 1288343232.

The previous prime is 1313031287. The next prime is 1313031367. The reversal of 1313031331 is 1331303131.

It is a happy number.

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 1313031331 - 211 = 1313029283 is a prime.

It is a super-2 number, since 2×13130313312 = 3448102552375263122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313031299 and 1313031308.

It is not an unprimeable number, because it can be changed into a prime (1313031131) 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 7 ways as a sum of consecutive naturals, for example, 47250 + ... + 69703.

It is an arithmetic number, because the mean of its divisors is an integer number (167244220).

Almost surely, 21313031331 is an apocalyptic number.

1313031331 is a deficient number, since it is larger than the sum of its proper divisors (24922429).

1313031331 is a wasteful number, since it uses less digits than its factorization.

1313031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117165.

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

The square root of 1313031331 is about 36235.7741879486. The cubic root of 1313031331 is about 1095.0275094386.

Adding to 1313031331 its reverse (1331303131), we get a palindrome (2644334462).

The spelling of 1313031331 in words is "one billion, three hundred thirteen million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 103 109 11227 116953 12046159 12747877 1313031331