1021113000 has 256 divisors, whose sum is σ = 3605472000. Its totient is φ = 267264000.

The previous prime is 1021112993. The next prime is 1021113001. The reversal of 1021113000 is 3111201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1021113001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1592680 + ... + 1593320.

It is an arithmetic number, because the mean of its divisors is an integer number (14083875).

Almost surely, 2^1021113000 is an apocalyptic number.

1021113000 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 1021113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802736000).

1021113000 is an abundant number, since it is smaller than the sum of its proper divisors (2584359000).

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

1021113000 is a wasteful number, since it uses less digits than its factorization.

1021113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1021113000 is about 31954.8587854805. The cubic root of 1021113000 is about 1006.9887108069.

Adding to 1021113000 its reverse (3111201), we get a palindrome (1024224201).

It can be divided in two parts, 102111 and 3000, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 1021113000 in words is "one billion, twenty-one million, one hundred thirteen thousand".