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1313121033 = 327311973413
BaseRepresentation
bin100111001000100…
…1010001100001001
310101111212110102100
41032101022030021
510142124333113
6334144424013
744353226130
oct11621121411
93344773370
101313121033
1161424a2a4
12307918009
1317c0802c3
14c6578917
157a432d73
hex4e44a309

1313121033 has 48 divisors (see below), whose sum is σ = 2249634816. Its totient is φ = 722252160.

The previous prime is 1313121031. The next prime is 1313121049. The reversal of 1313121033 is 3301213131.

It is a happy number.

It is not a de Polignac number, because 1313121033 - 21 = 1313121031 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1313120997 and 1313121015.

It is not an unprimeable number, because it can be changed into a prime (1313121031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383035 + ... + 386447.

It is an arithmetic number, because the mean of its divisors is an integer number (46867392).

Almost surely, 21313121033 is an apocalyptic number.

It is an amenable number.

1313121033 is a deficient number, since it is larger than the sum of its proper divisors (936513783).

1313121033 is a wasteful number, since it uses less digits than its factorization.

1313121033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3651 counting only the distinct ones).

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

The square root of 1313121033 is about 36237.0119215147. The cubic root of 1313121033 is about 1095.0524451018.

Adding to 1313121033 its reverse (3301213131), we get a palindrome (4614334164).

The spelling of 1313121033 in words is "one billion, three hundred thirteen million, one hundred twenty-one thousand, thirty-three".

Divisors: 1 3 7 9 21 31 63 93 197 217 279 591 651 1379 1773 1953 3413 4137 6107 10239 12411 18321 23891 30717 42749 54963 71673 105803 128247 215019 317409 384741 672361 740621 952227 2017083 2221863 4706527 6051249 6665589 14119581 20843191 42358743 62529573 145902337 187588719 437707011 1313121033