103332322333020 has 384 divisors, whose sum is σ = 340292490854400. Its totient is φ = 23187203251200.

The previous prime is 103332322333007. The next prime is 103332322333021. The reversal of 103332322333020 is 20333223233301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103332322333021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43507411 + ... + 45820949.

It is an arithmetic number, because the mean of its divisors is an integer number (886178361600).

Almost surely, 2^{103332322333020} is an apocalyptic number.

103332322333020 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 103332322333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170146245427200).

103332322333020 is an abundant number, since it is smaller than the sum of its proper divisors (236960168521380).

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

103332322333020 is a wasteful number, since it uses less digits than its factorization.

103332322333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313689 (or 2313687 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 103332322333020 its reverse (20333223233301), we get a palindrome (123665545566321).

The spelling of 103332322333020 in words is "one hundred three trillion, three hundred thirty-two billion, three hundred twenty-two million, three hundred thirty-three thousand, twenty".