1303393903812 has 1296 divisors, whose sum is σ = 5040165574080. Its totient is φ = 278343475200.

The previous prime is 1303393903709. The next prime is 1303393903853. The reversal of 1303393903812 is 2183093933031.

1303393903812 is a `hidden beast` number, since 130 + 3 + 393 + 90 + 38 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1385115262 + ... + 1385116202.

Almost surely, 2^{1303393903812} is an apocalyptic number.

1303393903812 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 1303393903812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520082787040).

1303393903812 is an abundant number, since it is smaller than the sum of its proper divisors (3736771670268).

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

1303393903812 is a wasteful number, since it uses less digits than its factorization.

1303393903812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 1303393903812 in words is "one trillion, three hundred three billion, three hundred ninety-three million, nine hundred three thousand, eight hundred twelve".