10130312322000 has 480 divisors, whose sum is σ = 38480833381536. Its totient is φ = 2468920320000.

The previous prime is 10130312321999. The next prime is 10130312322001. The reversal of 10130312322000 is 22321303101.

10130312322000 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 312 + 322 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10130312321999) and next prime (10130312322001).

It can be written as a sum of positive squares in 16 ways, for example, as 8734010872896 + 1396301449104 = 2955336^2 + 1181652^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130312322001) 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, 23419684 + ... + 23848316.

Almost surely, 2^{10130312322000} is an apocalyptic number.

10130312322000 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 10130312322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19240416690768).

10130312322000 is an abundant number, since it is smaller than the sum of its proper divisors (28350521059536).

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

10130312322000 is a wasteful number, since it uses less digits than its factorization.

10130312322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428776 (or 428757 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10130312322000 its reverse (22321303101), we get a palindrome (10152633625101).

The spelling of 10130312322000 in words is "ten trillion, one hundred thirty billion, three hundred twelve million, three hundred twenty-two thousand".