1013004034020 has 72 divisors (see below), whose sum is σ = 3352122446400. Its totient is φ = 245576735040.

The previous prime is 1013004033971. The next prime is 1013004034039. The reversal of 1013004034020 is 204304003101.

1013004034020 is a `hidden beast` number, since 1 + 0 + 1 + 300 + 4 + 0 + 340 + 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 = 1013004033984 and 1013004034002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255807120 + ... + 255811079.

It is an arithmetic number, because the mean of its divisors is an integer number (46557256200).

Almost surely, 2^{1013004034020} is an apocalyptic number.

1013004034020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013004034020 is an abundant number, since it is smaller than the sum of its proper divisors (2339118412380).

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

1013004034020 is a wasteful number, since it uses less digits than its factorization.

1013004034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511618225 (or 511618220 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1013004034020 its reverse (204304003101), we get a palindrome (1217308037121).

The spelling of 1013004034020 in words is "one trillion, thirteen billion, four million, thirty-four thousand, twenty".