103013302430000 has 100 divisors (see below), whose sum is σ = 249461125111968. Its totient is φ = 41196132000000.

The previous prime is 103013302429993. The next prime is 103013302430089. The reversal of 103013302430000 is 34203310301.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×103013302430000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43783625 + ... + 46076375.

Almost surely, 2^{103013302430000} is an apocalyptic number.

103013302430000 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 103013302430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124730562555984).

103013302430000 is an abundant number, since it is smaller than the sum of its proper divisors (146447822681968).

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

103013302430000 is an equidigital number, since it uses as much as digits as its factorization.

103013302430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297272 (or 2297251 counting only the distinct ones).

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

Adding to 103013302430000 its reverse (34203310301), we get a palindrome (103047505740301).

The spelling of 103013302430000 in words is "one hundred three trillion, thirteen billion, three hundred two million, four hundred thirty thousand".