1003013213033 has 24 divisors (see below), whose sum is σ = 1142856247176. Its totient is φ = 874939968000.

The previous prime is 1003013213003. The next prime is 1003013213057. The reversal of 1003013213033 is 3303123103001.

1003013213033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 635379569449 + 367633643584 = 797107^2 + 606328^2 .

It is not a de Polignac number, because 1003013213033 - 2¹² = 1003013208937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003013212996 and 1003013213014.

It is not an unprimeable number, because it can be changed into a prime (1003013213003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1615403 + ... + 2148383.

It is an arithmetic number, because the mean of its divisors is an integer number (47619010299).

Almost surely, 2^{1003013213033} is an apocalyptic number.

1003013213033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003013213033 is a deficient number, since it is larger than the sum of its proper divisors (139843034143).

1003013213033 is a wasteful number, since it uses less digits than its factorization.

1003013213033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533433 (or 533414 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1003013213033 its reverse (3303123103001), we get a palindrome (4306136316034).

The spelling of 1003013213033 in words is "one trillion, three billion, thirteen million, two hundred thirteen thousand, thirty-three".