10321001130000 has 600 divisors, whose sum is σ = 36985695139008. Its totient is φ = 2477200000000.

The previous prime is 10321001129987. The next prime is 10321001130059. The reversal of 10321001130000 is 3110012301.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×10321001130000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 366615925 + ... + 366644075.

Almost surely, 2^{10321001130000} is an apocalyptic number.

10321001130000 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 10321001130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18492847569504).

10321001130000 is an abundant number, since it is smaller than the sum of its proper divisors (26664694009008).

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

10321001130000 is a wasteful number, since it uses less digits than its factorization.

10321001130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28305 (or 28273 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10321001130000 its reverse (3110012301), we get a palindrome (10324111142301).

The spelling of 10321001130000 in words is "ten trillion, three hundred twenty-one billion, one million, one hundred thirty thousand".