1303011231120 has 480 divisors, whose sum is σ = 4738597543680. Its totient is φ = 319754096640.

The previous prime is 1303011231103. The next prime is 1303011231121. The reversal of 1303011231120 is 211321103031.

1303011231120 is a `hidden beast` number, since 1 + 30 + 301 + 1 + 2 + 311 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1303011231093 and 1303011231102.

It is not an unprimeable number, because it can be changed into a prime (1303011231121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367976550 + ... + 367980090.

It is an arithmetic number, because the mean of its divisors is an integer number (9872078216).

Almost surely, 2^{1303011231120} is an apocalyptic number.

1303011231120 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 1303011231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369298771840).

1303011231120 is an abundant number, since it is smaller than the sum of its proper divisors (3435586312560).

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

1303011231120 is a wasteful number, since it uses less digits than its factorization.

1303011231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1303011231120 its reverse (211321103031), we get a palindrome (1514332334151).

The spelling of 1303011231120 in words is "one trillion, three hundred three billion, eleven million, two hundred thirty-one thousand, one hundred twenty".