10031122320000 has 320 divisors, whose sum is σ = 34107928968960. Its totient is φ = 2609720320000.

The previous prime is 10031122319993. The next prime is 10031122320001. The reversal of 10031122320000 is 2322113001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10031122320001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9330289 + ... + 10349711.

It is an arithmetic number, because the mean of its divisors is an integer number (106587278028).

Almost surely, 2^{10031122320000} is an apocalyptic number.

10031122320000 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 10031122320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053964484480).

10031122320000 is an abundant number, since it is smaller than the sum of its proper divisors (24076806648960).

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

10031122320000 is an equidigital number, since it uses as much as digits as its factorization.

10031122320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019501 (or 1019474 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10031122320000 its reverse (2322113001), we get a palindrome (10033444433001).

The spelling of 10031122320000 in words is "ten trillion, thirty-one billion, one hundred twenty-two million, three hundred twenty thousand".