1020213132300 has 216 divisors, whose sum is σ = 3296114670576. Its totient is φ = 263745953280.

The previous prime is 1020213132241. The next prime is 1020213132311. The reversal of 1020213132300 is 32313120201.

1020213132300 is a `hidden beast` number, since 1 + 0 + 20 + 213 + 132 + 300 = 666.

1020213132300 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9168799 + ... + 9279401.

Almost surely, 2^{1020213132300} is an apocalyptic number.

1020213132300 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 1020213132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648057335288).

1020213132300 is an abundant number, since it is smaller than the sum of its proper divisors (2275901538276).

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

1020213132300 is a wasteful number, since it uses less digits than its factorization.

1020213132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110937 (or 110927 counting only the distinct ones).

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

Adding to 1020213132300 its reverse (32313120201), we get a palindrome (1052526252501).

The spelling of 1020213132300 in words is "one trillion, twenty billion, two hundred thirteen million, one hundred thirty-two thousand, three hundred".