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130200101313 = 31733723773187
BaseRepresentation
bin111100101000010000…
…1111110000111000001
3110110001212110110000120
41321100201332013001
54113122211220223
6135451344010453
712256323413052
oct1712041760701
9413055413016
10130200101313
1150243621217
1221297900a29
13c37c495c89
146431cb6729
1535c06dcbe3
hex1e5087e1c1

130200101313 has 32 divisors (see below), whose sum is σ = 184492773504. Its totient is φ = 81391951872.

The previous prime is 130200101299. The next prime is 130200101321. The reversal of 130200101313 is 313101002031.

It is not a de Polignac number, because 130200101313 - 29 = 130200100801 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130200101292 and 130200101301.

It is not an unprimeable number, because it can be changed into a prime (130200101323) 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 31 ways as a sum of consecutive naturals, for example, 40851906 + ... + 40855092.

It is an arithmetic number, because the mean of its divisors is an integer number (5765399172).

Almost surely, 2130200101313 is an apocalyptic number.

It is an amenable number.

130200101313 is a deficient number, since it is larger than the sum of its proper divisors (54292672191).

130200101313 is a wasteful number, since it uses less digits than its factorization.

130200101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130200101313 its reverse (313101002031), we get a palindrome (443301103344).

The spelling of 130200101313 in words is "one hundred thirty billion, two hundred million, one hundred one thousand, three hundred thirteen".

Divisors: 1 3 17 51 337 1011 2377 3187 5729 7131 9561 17187 40409 54179 121227 162537 801049 1074019 2403147 3222057 7575499 13617833 18258323 22726497 40853499 54774969 128783483 386350449 2552943163 7658829489 43400033771 130200101313