1020581030700 has 864 divisors, whose sum is σ = 4180207449600. Its totient is φ = 206311795200.

The previous prime is 1020581030687. The next prime is 1020581030717. The reversal of 1020581030700 is 70301850201.

1020581030700 is a `hidden beast` number, since 10 + 2 + 0 + 581 + 0 + 3 + 0 + 70 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 125636839 + ... + 125644961.

Almost surely, 2^{1020581030700} is an apocalyptic number.

1020581030700 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 1020581030700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090103724800).

1020581030700 is an abundant number, since it is smaller than the sum of its proper divisors (3159626418900).

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

1020581030700 is a wasteful number, since it uses less digits than its factorization.

1020581030700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 1020581030700 its reverse (70301850201), we get a palindrome (1090882880901).

The spelling of 1020581030700 in words is "one trillion, twenty billion, five hundred eighty-one million, thirty thousand, seven hundred".