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123013321310121 = 31137349288676249
BaseRepresentation
bin11011111110000101000101…
…010100011011111110101001
3121010112221212212102222110220
4123332011011110123332221
5112110422240223410441
61113343312322200253
734624263530542134
oct3376050524337651
9533487785388426
10123013321310121
1136217724a243a0
12119689804b3089
13538414ca7aba8
142253c3b25121b
15e34cd3619466
hex6fe14551bfa9

123013321310121 has 32 divisors (see below), whose sum is σ = 184290918000000. Its totient is φ = 72330720698880.

The previous prime is 123013321310069. The next prime is 123013321310141. The reversal of 123013321310121 is 121013123310321.

It is not a de Polignac number, because 123013321310121 - 210 = 123013321309097 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123013321310091 and 123013321310100.

It is not an unprimeable number, because it can be changed into a prime (123013321310141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143911996 + ... + 144764253.

It is an arithmetic number, because the mean of its divisors is an integer number (5759091187500).

Almost surely, 2123013321310121 is an apocalyptic number.

123013321310121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123013321310121 is a deficient number, since it is larger than the sum of its proper divisors (61277596689879).

123013321310121 is a wasteful number, since it uses less digits than its factorization.

123013321310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288676649.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 123013321310121 its reverse (121013123310321), we get a palindrome (244026444620442).

The spelling of 123013321310121 in words is "one hundred twenty-three trillion, thirteen billion, three hundred twenty-one million, three hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 11 33 37 111 349 407 1047 1221 3839 11517 12913 38739 142043 426129 288676249 866028747 3175438739 9526316217 10681021213 32043063639 100748010901 117491233343 302244032703 352473700029 1108228119911 3324684359733 3727676403337 11183029210011 41004440436707 123013321310121