103212032313000 has 1024 divisors, whose sum is σ = 378069793920000. Its totient is φ = 23212011110400.

The previous prime is 103212032312999. The next prime is 103212032313011. The reversal of 103212032313000 is 313230212301.

It is a super-2 number, since 2×103212032313000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22971738754 + ... + 22971743246.

It is an arithmetic number, because the mean of its divisors is an integer number (369208783125).

Almost surely, 2^{103212032313000} is an apocalyptic number.

103212032313000 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 103212032313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189034896960000).

103212032313000 is an abundant number, since it is smaller than the sum of its proper divisors (274857761607000).

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

103212032313000 is a wasteful number, since it uses less digits than its factorization.

103212032313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103212032313000 its reverse (313230212301), we get a palindrome (103525262525301).

The spelling of 103212032313000 in words is "one hundred three trillion, two hundred twelve billion, thirty-two million, three hundred thirteen thousand".