10303223322000 has 640 divisors, whose sum is σ = 38224517760000. Its totient is φ = 2338843852800.

The previous prime is 10303223321987. The next prime is 10303223322013. The reversal of 10303223322000 is 22332230301.

It is an interprime number because it is at equal distance from previous prime (10303223321987) and next prime (10303223322013).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8249177376 + ... + 8249178624.

It is an arithmetic number, because the mean of its divisors is an integer number (59725809000).

Almost surely, 2^{10303223322000} is an apocalyptic number.

10303223322000 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 10303223322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19112258880000).

10303223322000 is an abundant number, since it is smaller than the sum of its proper divisors (27921294438000).

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

10303223322000 is a wasteful number, since it uses less digits than its factorization.

10303223322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 10303223322000 its reverse (22332230301), we get a palindrome (10325555552301).

The spelling of 10303223322000 in words is "ten trillion, three hundred three billion, two hundred twenty-three million, three hundred twenty-two thousand".