1303003020120 has 256 divisors, whose sum is σ = 3991002762240. Its totient is φ = 340257005568.

The previous prime is 1303003020049. The next prime is 1303003020139. The reversal of 1303003020120 is 210203003031.

It is a super-3 number, since 3×1303003020120³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1303003020120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 953183677 + ... + 953185043.

It is an arithmetic number, because the mean of its divisors is an integer number (15589854540).

Almost surely, 2^{1303003020120} is an apocalyptic number.

1303003020120 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 1303003020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995501381120).

1303003020120 is an abundant number, since it is smaller than the sum of its proper divisors (2687999742120).

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

1303003020120 is a wasteful number, since it uses less digits than its factorization.

1303003020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1303003020120 its reverse (210203003031), we get a palindrome (1513206023151).

The spelling of 1303003020120 in words is "one trillion, three hundred three billion, three million, twenty thousand, one hundred twenty".