11301021000 has 192 divisors, whose sum is σ = 39230970480. Its totient is φ = 2932070400.

The previous prime is 11301020993. The next prime is 11301021007. The reversal of 11301021000 is 12010311.

It is an interprime number because it is at equal distance from previous prime (11301020993) and next prime (11301021007).

It can be written as a sum of positive squares in 8 ways, for example, as 5264663364 + 6036357636 = 72558^2 + 77694^2 .

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 (11301021007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316032 + ... + 349968.

Almost surely, 2^11301021000 is an apocalyptic number.

11301021000 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 11301021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19615485240).

11301021000 is an abundant number, since it is smaller than the sum of its proper divisors (27929949480).

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

11301021000 is a wasteful number, since it uses less digits than its factorization.

11301021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34001 (or 33984 counting only the distinct ones).

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

Adding to 11301021000 its reverse (12010311), we get a palindrome (11313031311).

The spelling of 11301021000 in words is "eleven billion, three hundred one million, twenty-one thousand".