1303253315040 has 96 divisors (see below), whose sum is σ = 4135213464480. Its totient is φ = 344997453824.

The previous prime is 1303253315009. The next prime is 1303253315051. The reversal of 1303253315040 is 405133523031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1303253314989 and 1303253315007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9843405 + ... + 9974924.

It is an arithmetic number, because the mean of its divisors is an integer number (43075140255).

Almost surely, 2^{1303253315040} is an apocalyptic number.

1303253315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303253315040 is an abundant number, since it is smaller than the sum of its proper divisors (2831960149440).

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

1303253315040 is a wasteful number, since it uses less digits than its factorization.

1303253315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19818484 (or 19818476 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 1303253315040 its reverse (405133523031), we get a palindrome (1708386838071).

The spelling of 1303253315040 in words is "one trillion, three hundred three billion, two hundred fifty-three million, three hundred fifteen thousand, forty".