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130120313013 = 32194317696221
BaseRepresentation
bin111100100101111000…
…1100110100010110101
3110102212022022210001100
41321023301212202311
54112441300004023
6135435413520313
712254334261105
oct1711361464265
9412768283040
10130120313013
1150202585079
1221275043099
13c368aab072
146425467205
1535b86cbc43
hex1e4bc668b5

130120313013 has 24 divisors (see below), whose sum is σ = 202444779680. Its totient is φ = 80270053920.

The previous prime is 130120312967. The next prime is 130120313041. The reversal of 130120313013 is 310313021031.

It is a happy number.

It is not a de Polignac number, because 130120313013 - 29 = 130120312501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120313083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8840758 + ... + 8855463.

Almost surely, 2130120313013 is an apocalyptic number.

It is an amenable number.

130120313013 is a deficient number, since it is larger than the sum of its proper divisors (72324466667).

130120313013 is a wasteful number, since it uses less digits than its factorization.

130120313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17696289 (or 17696286 counting only the distinct ones).

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

Adding to 130120313013 its reverse (310313021031), we get a palindrome (440433334044).

The spelling of 130120313013 in words is "one hundred thirty billion, one hundred twenty million, three hundred thirteen thousand, thirteen".

Divisors: 1 3 9 19 43 57 129 171 387 817 2451 7353 17696221 53088663 159265989 336228199 760937503 1008684597 2282812509 3026053791 6848437527 14457812557 43373437671 130120313013