2021013000 has 192 divisors, whose sum is σ = 6998911920. Its totient is φ = 525696000.

The previous prime is 2021012999. The next prime is 2021013077. The reversal of 2021013000 is 3101202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 151142436 + 1869870564 = 12294^2 + 43242^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366262 + ... + 371738.

Almost surely, 2^2021013000 is an apocalyptic number.

2021013000 is a gapful number since it is divisible by the number (20) 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 2021013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499455960).

2021013000 is an abundant number, since it is smaller than the sum of its proper divisors (4977898920).

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

2021013000 is a wasteful number, since it uses less digits than its factorization.

2021013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2021013000 is about 44955.6781730629. The cubic root of 2021013000 is about 1264.3181398231.

Adding to 2021013000 its reverse (3101202), we get a palindrome (2024114202).

The spelling of 2021013000 in words is "two billion, twenty-one million, thirteen thousand".