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13131013113144 = 2332712568664537
BaseRepresentation
bin1011111100010100110101…
…0111110100010100111000
31201111022102212210020212100
42333011031113310110320
53210114303324110034
643532145410143400
72523453513603363
oct277051527642470
951438385706770
1013131013113144
114202916639813
121580a65881b60
1374333170b984
14335789c930da
1517b87b41c099
hexbf14d5f4538

13131013113144 has 48 divisors (see below), whose sum is σ = 36064050113520. Its totient is φ = 4315356420480.

The previous prime is 13131013113133. The next prime is 13131013113149. The reversal of 13131013113144 is 44131131013131.

13131013113144 is a `hidden beast` number, since 1 + 3 + 1 + 31 + 0 + 1 + 311 + 314 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131013113149) 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, 1284327157 + ... + 1284337380.

It is an arithmetic number, because the mean of its divisors is an integer number (751334377365).

Almost surely, 213131013113144 is an apocalyptic number.

It is an amenable number.

13131013113144 is an abundant number, since it is smaller than the sum of its proper divisors (22933037000376).

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

13131013113144 is a wasteful number, since it uses less digits than its factorization.

13131013113144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568664620 (or 2568664613 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 13131013113144 its reverse (44131131013131), we get a palindrome (57262144126275).

The spelling of 13131013113144 in words is "thirteen trillion, one hundred thirty-one billion, thirteen million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 2568664537 5137329074 7705993611 10274658148 15411987222 20549316296 23117980833 30823974444 46235961666 61647948888 92471923332 182375182127 184943846664 364750364254 547125546381 729500728508 1094251092762 1459001457016 1641376639143 2188502185524 3282753278286 4377004371048 6565506556572 13131013113144