1303233404004 has 144 divisors (see below), whose sum is σ = 3910845783936. Its totient is φ = 371731680000.

The previous prime is 1303233403963. The next prime is 1303233404023. The reversal of 1303233404004 is 4004043323031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3929854 + ... + 4248554.

Almost surely, 2^{1303233404004} is an apocalyptic number.

1303233404004 is a gapful number since it is divisible by the number (14) 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 1303233404004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955422891968).

1303233404004 is an abundant number, since it is smaller than the sum of its proper divisors (2607612379932).

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

1303233404004 is a wasteful number, since it uses less digits than its factorization.

1303233404004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319328 (or 319314 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1303233404004 its reverse (4004043323031), we get a palindrome (5307276727035).

The spelling of 1303233404004 in words is "one trillion, three hundred three billion, two hundred thirty-three million, four hundred four thousand, four".