1103333020032 has 128 divisors (see below), whose sum is σ = 3033956217600. Its totient is φ = 354841733120.

The previous prime is 1103333019991. The next prime is 1103333020057. The reversal of 1103333020032 is 2300203333011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1103333019990 and 1103333020008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15856357 + ... + 15925787.

It is an arithmetic number, because the mean of its divisors is an integer number (23702782950).

Almost surely, 2^{1103333020032} is an apocalyptic number.

1103333020032 is a gapful number since it is divisible by the number (12) 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 1103333020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516978108800).

1103333020032 is an abundant number, since it is smaller than the sum of its proper divisors (1930623197568).

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

1103333020032 is a wasteful number, since it uses less digits than its factorization.

1103333020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70904 (or 70892 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1103333020032 its reverse (2300203333011), we get a palindrome (3403536353043).

The spelling of 1103333020032 in words is "one trillion, one hundred three billion, three hundred thirty-three million, twenty thousand, thirty-two".