1100013100032 has 352 divisors, whose sum is σ = 3781472555520. Its totient is φ = 275863633920.

The previous prime is 1100013100009. The next prime is 1100013100051. The reversal of 1100013100032 is 2300013100011.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1100013099990 and 1100013100017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6779598 + ... + 6939954.

It is an arithmetic number, because the mean of its divisors is an integer number (10742819760).

Almost surely, 2^{1100013100032} is an apocalyptic number.

1100013100032 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 1100013100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890736277760).

1100013100032 is an abundant number, since it is smaller than the sum of its proper divisors (2681459455488).

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

1100013100032 is a wasteful number, since it uses less digits than its factorization.

1100013100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160427 (or 160409 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1100013100032 its reverse (2300013100011), we get a palindrome (3400026200043).

The spelling of 1100013100032 in words is "one trillion, one hundred billion, thirteen million, one hundred thousand, thirty-two".