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13231114130000 = 2454131011007701
BaseRepresentation
bin1100000010001001101111…
…0110111001001001010000
31201211212211002111210012002
43000202123312321021100
53213234310204130000
644050142342253132
72533626225320564
oct300423366711120
951755732453162
1013231114130000
114241313aa0318
1215983414271a8
1374c8c51299b0
1433a5644cb6a4
1517e28945c8d5
hexc089bdb9250

13231114130000 has 200 divisors, whose sum is σ = 34839591618216. Its totient is φ = 4836960000000.

The previous prime is 13231114129973. The next prime is 13231114130071. The reversal of 13231114130000 is 3141113231.

It can be written as a sum of positive squares in 20 ways, for example, as 13200897956416 + 30216173584 = 3633304^2 + 173828^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×132311141300002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12626150 + ... + 13633850.

Almost surely, 213231114130000 is an apocalyptic number.

13231114130000 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 13231114130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17419795809108).

13231114130000 is an abundant number, since it is smaller than the sum of its proper divisors (21608477488216).

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

13231114130000 is a wasteful number, since it uses less digits than its factorization.

13231114130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007843 (or 1007822 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13231114130000 its reverse (3141113231), we get a palindrome (13234255243231).

The spelling of 13231114130000 in words is "thirteen trillion, two hundred thirty-one billion, one hundred fourteen million, one hundred thirty thousand".