10003120301000 has 128 divisors (see below), whose sum is σ = 23810361644160. Its totient is φ = 3932618976000.

The previous prime is 10003120300993. The next prime is 10003120301021. The reversal of 10003120301000 is 10302130001.

It is a super-5 number, since 5×10003120301000⁵ (a number of 66 digits) contains 55555 as substring.

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, 29512490 + ... + 29849510.

It is an arithmetic number, because the mean of its divisors is an integer number (186018450345).

Almost surely, 2^{10003120301000} is an apocalyptic number.

10003120301000 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 10003120301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905180822080).

10003120301000 is an abundant number, since it is smaller than the sum of its proper divisors (13807241343160).

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

10003120301000 is a wasteful number, since it uses less digits than its factorization.

10003120301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337552 (or 337538 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10003120301000 its reverse (10302130001), we get a palindrome (10013422431001).

The spelling of 10003120301000 in words is "ten trillion, three billion, one hundred twenty million, three hundred one thousand".