1303031003112 has 384 divisors, whose sum is σ = 3925988352000. Its totient is φ = 388681058304.

The previous prime is 1303031003107. The next prime is 1303031003213. The reversal of 1303031003112 is 2113001303031.

It is a happy number.

1303031003112 is a `hidden beast` number, since 13 + 0 + 30 + 310 + 0 + 311 + 2 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 492265773 + ... + 492268419.

It is an arithmetic number, because the mean of its divisors is an integer number (10223928000).

Almost surely, 2^{1303031003112} is an apocalyptic number.

1303031003112 is a gapful number since it is divisible by the number (12) 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 1303031003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962994176000).

1303031003112 is an abundant number, since it is smaller than the sum of its proper divisors (2622957348888).

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

1303031003112 is a wasteful number, since it uses less digits than its factorization.

1303031003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1303031003112 its reverse (2113001303031), we get a palindrome (3416032306143).

The spelling of 1303031003112 in words is "one trillion, three hundred three billion, thirty-one million, three thousand, one hundred twelve".