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1310113012120 = 235119413316321
BaseRepresentation
bin10011000100001000110…
…100100001100110011000
311122020122000202200211121
4103010020310201212120
5132431102412341440
62441505124335024
7163436551601623
oct23041064414630
94566560680747
101310113012120
11465685705950
12191aaa244474
139670a332c93
14475a4728dba
152412bba834a
hex13108d21998

1310113012120 has 64 divisors (see below), whose sum is σ = 3216083732640. Its totient is φ = 476352614400.

The previous prime is 1310113011937. The next prime is 1310113012123. The reversal of 1310113012120 is 212103110131.

It is a happy number.

It is a super-2 number, since 2×13101130121202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310113012094 and 1310113012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310113012123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3983560 + ... + 4299880.

Almost surely, 21310113012120 is an apocalyptic number.

1310113012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310113012120 is an abundant number, since it is smaller than the sum of its proper divisors (1905970720520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1310113012120 is a wasteful number, since it uses less digits than its factorization.

1310113012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325756 (or 325752 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1310113012120 its reverse (212103110131), we get a palindrome (1522216122251).

The spelling of 1310113012120 in words is "one trillion, three hundred ten billion, one hundred thirteen million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 9413 18826 37652 47065 75304 94130 103543 188260 207086 316321 376520 414172 517715 632642 828344 1035430 1265284 1581605 2070860 2530568 3163210 3479531 4141720 6326420 6959062 12652840 13918124 17397655 27836248 34795310 69590620 139181240 2977529573 5955059146 11910118292 14887647865 23820236584 29775295730 32752825303 59550591460 65505650606 119101182920 131011301212 163764126515 262022602424 327528253030 655056506060 1310113012120