1032133101104 has 80 divisors (see below), whose sum is σ = 2318651596800. Its totient is φ = 435946655232.

The previous prime is 1032133101047. The next prime is 1032133101113. The reversal of 1032133101104 is 4011013312301.

1032133101104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2891537 + ... + 3228815.

It is an arithmetic number, because the mean of its divisors is an integer number (28983144960).

Almost surely, 2^{1032133101104} is an apocalyptic number.

1032133101104 is a gapful number since it is divisible by the number (14) 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 1032133101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159325798400).

1032133101104 is an abundant number, since it is smaller than the sum of its proper divisors (1286518495696).

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

1032133101104 is a wasteful number, since it uses less digits than its factorization.

1032133101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337690 (or 337684 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1032133101104 its reverse (4011013312301), we get a palindrome (5043146413405).

The spelling of 1032133101104 in words is "one trillion, thirty-two billion, one hundred thirty-three million, one hundred one thousand, one hundred four".