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1313112033 = 33295716447
BaseRepresentation
bin100111001000100…
…0111111111100001
310101111212000002000
41032101013333201
510142124041113
6334144314213
744353160652
oct11621077741
93344760060
101313112033
11614243562
12307912969
1317c07918c
14c6575529
157a430373
hex4e447fe1

1313112033 has 16 divisors (see below), whose sum is σ = 1946127360. Its totient is φ = 875058768.

The previous prime is 1313112019. The next prime is 1313112037. The reversal of 1313112033 is 3302113131.

It is a happy number.

It is not a de Polignac number, because 1313112033 - 212 = 1313107937 is a prime.

It is a super-2 number, since 2×13131120332 = 3448526422418786178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1313111997 and 1313112015.

It is not an unprimeable number, because it can be changed into a prime (1313112037) 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, 71616 + ... + 88062.

It is an arithmetic number, because the mean of its divisors is an integer number (121632960).

Almost surely, 21313112033 is an apocalyptic number.

It is an amenable number.

1313112033 is a deficient number, since it is larger than the sum of its proper divisors (633015327).

1313112033 is a wasteful number, since it uses less digits than its factorization.

1313112033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19413 (or 19407 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1313112033 is about 36236.8877388774. The cubic root of 1313112033 is about 1095.0499433028.

Adding to 1313112033 its reverse (3302113131), we get a palindrome (4615225164).

The spelling of 1313112033 in words is "one billion, three hundred thirteen million, one hundred twelve thousand, thirty-three".

Divisors: 1 3 9 27 2957 8871 16447 26613 49341 79839 148023 444069 48633779 145901337 437704011 1313112033