132030020330100 has 54 divisors (see below), whose sum is σ = 413840763726390. Its totient is φ = 35208005421120.

The previous prime is 132030020330093. The next prime is 132030020330107. The reversal of 132030020330100 is 1033020030231.

132030020330100 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 300 + 20 + 330 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132030020330093) and next prime (132030020330107).

It can be written as a sum of positive squares in 3 ways, for example, as 31711607265636 + 100318413064464 = 5631306^2 + 10015908^2 .

It is a super-3 number, since 3×132030020330100³ (a number of 43 digits) contains 333 as substring.

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 (132030020330107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73350010395 + ... + 73350012194.

It is an arithmetic number, because the mean of its divisors is an integer number (7663717846785).

Almost surely, 2^{132030020330100} is an apocalyptic number.

132030020330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132030020330100 is an abundant number, since it is smaller than the sum of its proper divisors (281810743396290).

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

132030020330100 is a wasteful number, since it uses less digits than its factorization.

132030020330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146700022609 (or 146700022599 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132030020330100 its reverse (1033020030231), we get a palindrome (133063040360331).

The spelling of 132030020330100 in words is "one hundred thirty-two trillion, thirty billion, twenty million, three hundred thirty thousand, one hundred".