132763302100 has 144 divisors (see below), whose sum is σ = 350135089920. Its totient is φ = 43027084800.

The previous prime is 132763302097. The next prime is 132763302103. The reversal of 132763302100 is 1203367231.

It is an interprime number because it is at equal distance from previous prime (132763302097) and next prime (132763302103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132763302103) 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, 254629 + ... + 574771.

It is an arithmetic number, because the mean of its divisors is an integer number (2431493680).

Almost surely, 2^132763302100 is an apocalyptic number.

132763302100 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 132763302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175067544960).

132763302100 is an abundant number, since it is smaller than the sum of its proper divisors (217371787820).

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

132763302100 is a wasteful number, since it uses less digits than its factorization.

132763302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320210 (or 320203 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 132763302100 its reverse (1203367231), we get a palindrome (133966669331).

The spelling of 132763302100 in words is "one hundred thirty-two billion, seven hundred sixty-three million, three hundred two thousand, one hundred".