1103329631020 has 144 divisors (see below), whose sum is σ = 2528552033280. Its totient is φ = 402866092800.

The previous prime is 1103329631003. The next prime is 1103329631093. The reversal of 1103329631020 is 201369233011.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011300675 + ... + 1011301765.

It is an arithmetic number, because the mean of its divisors is an integer number (17559389120).

Almost surely, 2^{1103329631020} is an apocalyptic number.

1103329631020 is a gapful number since it is divisible by the number (10) 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 1103329631020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264276016640).

1103329631020 is an abundant number, since it is smaller than the sum of its proper divisors (1425222402260).

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

1103329631020 is a wasteful number, since it uses less digits than its factorization.

1103329631020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 1103329631020 in words is "one trillion, one hundred three billion, three hundred twenty-nine million, six hundred thirty-one thousand, twenty".