1005412013333 has 48 divisors (see below), whose sum is σ = 1295603076096. Its totient is φ = 773020402560.

The previous prime is 1005412013303. The next prime is 1005412013381. The reversal of 1005412013333 is 3333102145001.

It is not a de Polignac number, because 1005412013333 - 2¹⁴ = 1005411996949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005412013303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3069260 + ... + 3381002.

It is an arithmetic number, because the mean of its divisors is an integer number (26991730752).

Almost surely, 2^{1005412013333} is an apocalyptic number.

1005412013333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1005412013333 is a deficient number, since it is larger than the sum of its proper divisors (290191062763).

1005412013333 is a wasteful number, since it uses less digits than its factorization.

1005412013333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311914 (or 311907 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 1005412013333 its reverse (3333102145001), we get a palindrome (4338514158334).

The spelling of 1005412013333 in words is "one trillion, five billion, four hundred twelve million, thirteen thousand, three hundred thirty-three".