103313003222000 has 320 divisors, whose sum is σ = 296389931580288. Its totient is φ = 34335129600000.

The previous prime is 103313003221933. The next prime is 103313003222017. The reversal of 103313003222000 is 222300313301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27097712 + ... + 30674288.

Almost surely, 2^{103313003222000} is an apocalyptic number.

103313003222000 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 103313003222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148194965790144).

103313003222000 is an abundant number, since it is smaller than the sum of its proper divisors (193076928358288).

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

103313003222000 is a wasteful number, since it uses less digits than its factorization.

103313003222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576725 (or 3576709 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103313003222000 its reverse (222300313301), we get a palindrome (103535303535301).

The spelling of 103313003222000 in words is "one hundred three trillion, three hundred thirteen billion, three million, two hundred twenty-two thousand".