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131320130112 = 26321753793203
BaseRepresentation
bin111101001001101001…
…0100010101001000000
3110112221220222210200200
41322103102202221000
54122420423130422
6140154434045200
712326143455123
oct1722322425100
9415856883620
10131320130112
1150768876456
122154aa19800
13c4ca53a202
1464da94a3ba
153638bcd2ac
hex1e934a2a40

131320130112 has 336 divisors, whose sum is σ = 411335159040. Its totient is φ = 39897022464.

The previous prime is 131320130111. The next prime is 131320130147. The reversal of 131320130112 is 211031023131.

131320130112 is a `hidden beast` number, since 1 + 31 + 320 + 1 + 301 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131320130111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40997503 + ... + 41000705.

Almost surely, 2131320130112 is an apocalyptic number.

131320130112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131320130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205667579520).

131320130112 is an abundant number, since it is smaller than the sum of its proper divisors (280015028928).

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

131320130112 is a wasteful number, since it uses less digits than its factorization.

131320130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3357 counting only the distinct ones).

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

Adding to 131320130112 its reverse (211031023131), we get a palindrome (342351153243).

The spelling of 131320130112 in words is "one hundred thirty-one billion, three hundred twenty million, one hundred thirty thousand, one hundred twelve".