1003130242000 has 80 divisors (see below), whose sum is σ = 2509209378000. Its totient is φ = 387415795200.

The previous prime is 1003130241991. The next prime is 1003130242019. The reversal of 1003130242000 is 2420313001.

It is a happy number.

1003130242000 is digitally balanced in base 2, 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 8 ways, for example, as 437788662336 + 565341579664 = 661656^2 + 751892^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8589675 + ... + 8705674.

It is an arithmetic number, because the mean of its divisors is an integer number (31365117225).

Almost surely, 2^{1003130242000} is an apocalyptic number.

1003130242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003130242000 is an abundant number, since it is smaller than the sum of its proper divisors (1506079136000).

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

1003130242000 is a wasteful number, since it uses less digits than its factorization.

1003130242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17295401 (or 17295385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1003130242000 its reverse (2420313001), we get a palindrome (1005550555001).

The spelling of 1003130242000 in words is "one trillion, three billion, one hundred thirty million, two hundred forty-two thousand".