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131212310013 = 32371171336491
BaseRepresentation
bin111101000110011011…
…1001111010111111101
3110112200102002222022200
41322030313033113331
54122210322410023
6140140023102113
712323364142611
oct1721467172775
9415612088280
10131212310013
1150712a23634
122151a8a1939
13c4b10b9135
1464ca4c1341
15362e4d1743
hex1e8cdcf5fd

131212310013 has 24 divisors (see below), whose sum is σ = 194818100256. Its totient is φ = 85037752800.

The previous prime is 131212309999. The next prime is 131212310051. The reversal of 131212310013 is 310013212131.

131212310013 is a `hidden beast` number, since 131 + 212 + 310 + 0 + 13 = 666.

It is not a de Polignac number, because 131212310013 - 25 = 131212309981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212310063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221698 + ... + 558188.

It is an arithmetic number, because the mean of its divisors is an integer number (8117420844).

Almost surely, 2131212310013 is an apocalyptic number.

It is an amenable number.

131212310013 is a deficient number, since it is larger than the sum of its proper divisors (63605790243).

131212310013 is a wasteful number, since it uses less digits than its factorization.

131212310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337705 (or 337702 counting only the distinct ones).

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

Adding to 131212310013 its reverse (310013212131), we get a palindrome (441225522144).

The spelling of 131212310013 in words is "one hundred thirty-one billion, two hundred twelve million, three hundred ten thousand, thirteen".

Divisors: 1 3 9 37 111 333 1171 3513 10539 43327 129981 336491 389943 1009473 3028419 12450167 37350501 112051503 394030961 1182092883 3546278649 14579145557 43737436671 131212310013