103013230320000 has 3840 divisors, whose sum is σ = 510921936645120. Its totient is φ = 19219783680000.

The previous prime is 103013230319947. The next prime is 103013230320023. The reversal of 103013230320000 is 23032310301.

103013230320000 is a `hidden beast` number, since 1 + 0 + 30 + 132 + 303 + 200 + 0 + 0 = 666.

It is a super-2 number, since 2×103013230320000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 26666638069 + ... + 26666641931.

It is an arithmetic number, because the mean of its divisors is an integer number (133052587668).

Almost surely, 2^{103013230320000} is an apocalyptic number.

103013230320000 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 103013230320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255460968322560).

103013230320000 is an abundant number, since it is smaller than the sum of its proper divisors (407908706325120).

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

103013230320000 is a wasteful number, since it uses less digits than its factorization.

103013230320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103013230320000 its reverse (23032310301), we get a palindrome (103036262630301).

The spelling of 103013230320000 in words is "one hundred three trillion, thirteen billion, two hundred thirty million, three hundred twenty thousand".