132002033312100 has 288 divisors, whose sum is σ = 447284815439616. Its totient is φ = 29425982054400.

The previous prime is 132002033312087. The next prime is 132002033312131. The reversal of 132002033312100 is 1213330200231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254338464 + ... + 254856936.

It is an arithmetic number, because the mean of its divisors is an integer number (1553072275832).

Almost surely, 2^{132002033312100} is an apocalyptic number.

132002033312100 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 132002033312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223642407719808).

132002033312100 is an abundant number, since it is smaller than the sum of its proper divisors (315282782127516).

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

132002033312100 is a wasteful number, since it uses less digits than its factorization.

132002033312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521495 (or 521488 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132002033312100 its reverse (1213330200231), we get a palindrome (133215363512331).

The spelling of 132002033312100 in words is "one hundred thirty-two trillion, two billion, thirty-three million, three hundred twelve thousand, one hundred".