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131000310133000 = 23537211892730823
BaseRepresentation
bin11101110010010011100010…
…111100110111000100001000
3122011211111200212000002202021
4131302103202330313010020
5114132302113343224000
61142340413415414224
736410313543432400
oct3562234274670410
9564744625002667
10131000310133000
1138816a12998690
12128388a2984374
135813378b88a79
14244c63d895800
15102294317111a
hex7724e2f37108

131000310133000 has 384 divisors, whose sum is σ = 393376289529600. Its totient is φ = 40372472448000.

The previous prime is 131000310132977. The next prime is 131000310133009. The reversal of 131000310133000 is 331013000131.

131000310133000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1310003101330002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131000310133009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46605589 + ... + 49336411.

It is an arithmetic number, because the mean of its divisors is an integer number (1024417420650).

Almost surely, 2131000310133000 is an apocalyptic number.

131000310133000 is a gapful number since it is divisible by the number (10) 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 131000310133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196688144764800).

131000310133000 is an abundant number, since it is smaller than the sum of its proper divisors (262375979396600).

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

131000310133000 is a wasteful number, since it uses less digits than its factorization.

131000310133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730958 (or 2730937 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 131000310133000 its reverse (331013000131), we get a palindrome (131331323133131).

The spelling of 131000310133000 in words is "one hundred thirty-one trillion, three hundred ten million, one hundred thirty-three thousand".