1003013312120 has 128 divisors (see below), whose sum is σ = 2415392784000. Its totient is φ = 373927403520.

The previous prime is 1003013312107. The next prime is 1003013312131. The reversal of 1003013312120 is 212133103001.

It is a congruent number.

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, 30499046 + ... + 30531914.

It is an arithmetic number, because the mean of its divisors is an integer number (18870256125).

Almost surely, 2^{1003013312120} is an apocalyptic number.

1003013312120 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 1003013312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207696392000).

1003013312120 is an abundant number, since it is smaller than the sum of its proper divisors (1412379471880).

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

1003013312120 is a wasteful number, since it uses less digits than its factorization.

1003013312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33753 (or 33749 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1003013312120 its reverse (212133103001), we get a palindrome (1215146415121).

The spelling of 1003013312120 in words is "one trillion, three billion, thirteen million, three hundred twelve thousand, one hundred twenty".