1000233102132 has 144 divisors (see below), whose sum is σ = 2800775577600. Its totient is φ = 298445359680.

The previous prime is 1000233102107. The next prime is 1000233102133. The reversal of 1000233102132 is 2312013320001.

1000233102132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000233102133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11437669 + ... + 11524787.

It is an arithmetic number, because the mean of its divisors is an integer number (19449830400).

Almost surely, 2^{1000233102132} is an apocalyptic number.

1000233102132 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 1000233102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400387788800).

1000233102132 is an abundant number, since it is smaller than the sum of its proper divisors (1800542475468).

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

1000233102132 is a wasteful number, since it uses less digits than its factorization.

1000233102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87586 (or 87581 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1000233102132 its reverse (2312013320001), we get a palindrome (3312246422133).

The spelling of 1000233102132 in words is "one trillion, two hundred thirty-three million, one hundred two thousand, one hundred thirty-two".