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1313332331233 = 131313931196181
BaseRepresentation
bin10011000111001000101…
…101010000001011100001
311122112221101111001102211
4103013020231100023201
5133004201034044413
62443200405442121
7163612412423626
oct23071055201341
94575841431384
101313332331233
11466a87953a5a
12192648410341
1396b012a7030
14477cc10234d
152426962083d
hex131c8b502e1

1313332331233 has 16 divisors (see below), whose sum is σ = 1425524329152. Its totient is φ = 1202740344000.

The previous prime is 1313332331209. The next prime is 1313332331257. The reversal of 1313332331233 is 3321332333131.

It is an interprime number because it is at equal distance from previous prime (1313332331209) and next prime (1313332331257).

It is not a de Polignac number, because 1313332331233 - 213 = 1313332323041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313332331195 and 1313332331204.

It is not an unprimeable number, because it can be changed into a prime (1313332331033) 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, 6596403 + ... + 6792583.

It is an arithmetic number, because the mean of its divisors is an integer number (89095270572).

Almost surely, 21313332331233 is an apocalyptic number.

1313332331233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313332331233 is a deficient number, since it is larger than the sum of its proper divisors (112191997919).

1313332331233 is a wasteful number, since it uses less digits than its factorization.

1313332331233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200256.

The product of its digits is 26244, while the sum is 31.

Adding to 1313332331233 its reverse (3321332333131), we get a palindrome (4634664664364).

The spelling of 1313332331233 in words is "one trillion, three hundred thirteen billion, three hundred thirty-two million, three hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 13 131 1703 3931 51103 196181 514961 2550353 6694493 25699711 334096243 771187511 10025437643 101025563941 1313332331233