1003121013301 has 48 divisors (see below), whose sum is σ = 1158653520000. Its totient is φ = 860255303040.

The previous prime is 1003121013281. The next prime is 1003121013313. The reversal of 1003121013301 is 1033101213001.

It is not a de Polignac number, because 1003121013301 - 2⁷ = 1003121013173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003121053301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647591875 + ... + 647593423.

It is an arithmetic number, because the mean of its divisors is an integer number (24138615000).

Almost surely, 2^{1003121013301} is an apocalyptic number.

1003121013301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003121013301 is a deficient number, since it is larger than the sum of its proper divisors (155532506699).

1003121013301 is a wasteful number, since it uses less digits than its factorization.

1003121013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1003121013301 its reverse (1033101213001), we get a palindrome (2036222226302).

The spelling of 1003121013301 in words is "one trillion, three billion, one hundred twenty-one million, thirteen thousand, three hundred one".