10032113322000 has 960 divisors, whose sum is σ = 43786063226880. Its totient is φ = 2079762048000.

The previous prime is 10032113321927. The next prime is 10032113322017. The reversal of 10032113322000 is 22331123001.

10032113322000 is a `hidden beast` number, since 10 + 0 + 321 + 1 + 332 + 2 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 613989831 + ... + 614006169.

It is an arithmetic number, because the mean of its divisors is an integer number (45610482528).

Almost surely, 2^{10032113322000} is an apocalyptic number.

10032113322000 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 10032113322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21893031613440).

10032113322000 is an abundant number, since it is smaller than the sum of its proper divisors (33753949904880).

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

10032113322000 is a wasteful number, since it uses less digits than its factorization.

10032113322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16829 (or 16810 counting only the distinct ones).

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

Adding to 10032113322000 its reverse (22331123001), we get a palindrome (10054444445001).

The spelling of 10032113322000 in words is "ten trillion, thirty-two billion, one hundred thirteen million, three hundred twenty-two thousand".