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131313210330132 = 223223392315593119
BaseRepresentation
bin11101110110110110111101…
…010000011000110000010100
3122012221102100101221001011100
4131312312331100120300110
5114202413423321031012
61143140242300510100
736442031523301155
oct3566667520306024
9565842311831140
10131313210330132
113892768a9a2a26
121288946854b330
135836a234b44cc
14245d843dc392c
15102ab5811a8dc
hex776dbd418c14

131313210330132 has 36 divisors (see below), whose sum is σ = 331932055262080. Its totient is φ = 43770880185552.

The previous prime is 131313210330131. The next prime is 131313210330151. The reversal of 131313210330132 is 231033012313131.

131313210330132 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 321 + 0 + 3 + 301 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131313210330096 and 131313210330105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313210330131) 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, 624669 + ... + 16217787.

Almost surely, 2131313210330132 is an apocalyptic number.

131313210330132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131313210330132 is an abundant number, since it is smaller than the sum of its proper divisors (200618844931948).

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

131313210330132 is a wasteful number, since it uses less digits than its factorization.

131313210330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15827052 (or 15827047 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131313210330132 its reverse (231033012313131), we get a palindrome (362346222643263).

The spelling of 131313210330132 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred ten million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 233923 467846 701769 935692 1403538 2105307 2807076 4210614 8421228 15593119 31186238 46779357 62372476 93558714 140338071 187117428 280676142 561352284 3647589175837 7295178351674 10942767527511 14590356703348 21885535055022 32828302582533 43771070110044 65656605165066 131313210330132