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131320332000 = 25335311213773
BaseRepresentation
bin111101001001101001…
…1010011111011100000
3110112221221101001122000
41322103103103323200
54122421001111000
6140154442244000
712326145255534
oct1722323237340
9415857331560
10131320332000
11507689a4100
122154aab6600
13c4ca5ab080
1464da99dbc4
153638c1d000
hex1e934d3ee0

131320332000 has 1152 divisors, whose sum is σ = 566559826560. Its totient is φ = 29348352000.

The previous prime is 131320331983. The next prime is 131320332029. The reversal of 131320332000 is 233023131.

131320332000 is a `hidden beast` number, since 1 + 313 + 20 + 332 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169883614 + ... + 169884386.

It is an arithmetic number, because the mean of its divisors is an integer number (491805405).

Almost surely, 2131320332000 is an apocalyptic number.

131320332000 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 131320332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283279913280).

131320332000 is an abundant number, since it is smaller than the sum of its proper divisors (435239494560).

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

131320332000 is a wasteful number, since it uses less digits than its factorization.

131320332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131320332000 its reverse (233023131), we get a palindrome (131553355131).

The spelling of 131320332000 in words is "one hundred thirty-one billion, three hundred twenty million, three hundred thirty-two thousand".