1013103332033 has 16 divisors (see below), whose sum is σ = 1155304276560. Its totient is φ = 880092512256.

The previous prime is 1013103331979. The next prime is 1013103332039. The reversal of 1013103332033 is 3302333013101.

It can be written as a sum of positive squares in 8 ways, for example, as 109476280384 + 903627051649 = 330872^2 + 950593^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013103332033 - 2⁶ = 1013103331969 is a prime.

It is a super-2 number, since 2×1013103332033² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1013103332039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2722241 + ... + 3071937.

It is an arithmetic number, because the mean of its divisors is an integer number (72206517285).

Almost surely, 2^{1013103332033} is an apocalyptic number.

1013103332033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013103332033 is a deficient number, since it is larger than the sum of its proper divisors (142200944527).

1013103332033 is a wasteful number, since it uses less digits than its factorization.

1013103332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362836.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 1013103332033 its reverse (3302333013101), we get a palindrome (4315436345134).

It can be divided in two parts, 101310 and 3332033, that added together give a palindrome (3433343).

The spelling of 1013103332033 in words is "one trillion, thirteen billion, one hundred three million, three hundred thirty-two thousand, thirty-three".