130103020013000 has 128 divisors (see below), whose sum is σ = 307704179484000. Its totient is φ = 51484245120000.

The previous prime is 130103020012969. The next prime is 130103020013017. The reversal of 130103020013000 is 310020301031.

130103020013000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 5903451808804 + 124199568204196 = 2429702^2 + 11144486^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124416326 + ... + 125457674.

Almost surely, 2^{130103020013000} is an apocalyptic number.

130103020013000 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 130103020013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153852089742000).

130103020013000 is an abundant number, since it is smaller than the sum of its proper divisors (177601159471000).

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

130103020013000 is a wasteful number, since it uses less digits than its factorization.

130103020013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042708 (or 1042694 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 130103020013000 its reverse (310020301031), we get a palindrome (130413040314031).

The spelling of 130103020013000 in words is "one hundred thirty trillion, one hundred three billion, twenty million, thirteen thousand".