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13131321012 = 22321223929803
BaseRepresentation
bin11000011101011000…
…00000111010110100
31020220010220020000200
430032230000322310
5203343104233022
610011001440500
7643256246505
oct141654007264
936803806020
1013131321012
115629319917
1226657a0130
131313660844
148c7d90bac
1551cc41bac
hex30eb00eb4

13131321012 has 36 divisors (see below), whose sum is σ = 33196887360. Its totient is φ = 4376602512.

The previous prime is 13131321011. The next prime is 13131321019. The reversal of 13131321012 is 21012313131.

13131321012 is a `hidden beast` number, since 131 + 313 + 210 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131321011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425703 + ... + 455505.

It is an arithmetic number, because the mean of its divisors is an integer number (922135760).

Almost surely, 213131321012 is an apocalyptic number.

13131321012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131321012 is an abundant number, since it is smaller than the sum of its proper divisors (20065566348).

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

13131321012 is a wasteful number, since it uses less digits than its factorization.

13131321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42052 (or 42047 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13131321012 its reverse (21012313131), we get a palindrome (34143634143).

The spelling of 13131321012 in words is "thirteen billion, one hundred thirty-one million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 12239 24478 29803 36717 48956 59606 73434 89409 110151 119212 146868 178818 220302 268227 357636 440604 536454 1072908 364758917 729517834 1094276751 1459035668 2188553502 3282830253 4377107004 6565660506 13131321012