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130120123013 = 1931647334129
BaseRepresentation
bin111100100101111000…
…0111000001010000101
3110102212021222010102022
41321023300320022011
54112441222414023
6135435405452525
712254332540136
oct1711360701205
9412767863368
10130120123013
1150202465351
1221274b71145
13c368a4273a
146425417c8d
1535b86907c8
hex1e4bc38285

130120123013 has 16 divisors (see below), whose sum is σ = 141412876800. Its totient is φ = 119273264640.

The previous prime is 130120123009. The next prime is 130120123061. The reversal of 130120123013 is 310321021031.

It is a cyclic number.

It is not a de Polignac number, because 130120123013 - 22 = 130120123009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130120122982 and 130120123000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120123213) 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, 3795533 + ... + 3829661.

It is an arithmetic number, because the mean of its divisors is an integer number (8838304800).

Almost surely, 2130120123013 is an apocalyptic number.

It is an amenable number.

130120123013 is a deficient number, since it is larger than the sum of its proper divisors (11292753787).

130120123013 is a wasteful number, since it uses less digits than its factorization.

130120123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40652.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 130120123013 its reverse (310321021031), we get a palindrome (440441144044).

The spelling of 130120123013 in words is "one hundred thirty billion, one hundred twenty million, one hundred twenty-three thousand, thirteen".

Divisors: 1 19 31 589 6473 34129 122987 200663 648451 1057999 3812597 20101981 220917017 4197423323 6848427527 130120123013