2021313213000 has 192 divisors, whose sum is σ = 6833023142400. Its totient is φ = 538939190400.

The previous prime is 2021313212983. The next prime is 2021313213013. The reversal of 2021313213000 is 3123131202.

2021313213000 is a `hidden beast` number, since 20 + 21 + 3 + 1 + 321 + 300 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 90699859 + ... + 90722141.

It is an arithmetic number, because the mean of its divisors is an integer number (35588662200).

Almost surely, 2^{2021313213000} is an apocalyptic number.

2021313213000 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 2021313213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416511571200).

2021313213000 is an abundant number, since it is smaller than the sum of its proper divisors (4811709929400).

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

2021313213000 is a wasteful number, since it uses less digits than its factorization.

2021313213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32389 (or 32372 counting only the distinct ones).

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

Adding to 2021313213000 its reverse (3123131202), we get a palindrome (2024436344202).

The spelling of 2021313213000 in words is "two trillion, twenty-one billion, three hundred thirteen million, two hundred thirteen thousand".