10022321313000 has 384 divisors, whose sum is σ = 35531288133120. Its totient is φ = 2545054732800.

The previous prime is 10022321312933. The next prime is 10022321313001. The reversal of 10022321313000 is 31312322001.

10022321313000 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 232 + 131 + 300 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10022321313001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15330819 + ... + 15971181.

It is an arithmetic number, because the mean of its divisors is an integer number (92529396180).

Almost surely, 2^{10022321313000} is an apocalyptic number.

10022321313000 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 10022321313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765644066560).

10022321313000 is an abundant number, since it is smaller than the sum of its proper divisors (25508966820120).

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

10022321313000 is a wasteful number, since it uses less digits than its factorization.

10022321313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640474 (or 640457 counting only the distinct ones).

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

Adding to 10022321313000 its reverse (31312322001), we get a palindrome (10053633635001).

The spelling of 10022321313000 in words is "ten trillion, twenty-two billion, three hundred twenty-one million, three hundred thirteen thousand".