2001013223220 has 192 divisors, whose sum is σ = 6800777625600. Its totient is φ = 484418401920.

The previous prime is 2001013223171. The next prime is 2001013223311. The reversal of 2001013223220 is 223223101002.

2001013223220 is a `hidden beast` number, since 20 + 0 + 1 + 0 + 1 + 322 + 322 + 0 = 666.

It is a super-5 number, since 5×2001013223220⁵ (a number of 63 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2001013223193 and 2001013223202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4036597 + ... + 4505123.

It is an arithmetic number, because the mean of its divisors is an integer number (35420716800).

Almost surely, 2^{2001013223220} is an apocalyptic number.

2001013223220 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 2001013223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400388812800).

2001013223220 is an abundant number, since it is smaller than the sum of its proper divisors (4799764402380).

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

2001013223220 is a wasteful number, since it uses less digits than its factorization.

2001013223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469275 (or 469267 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2001013223220 its reverse (223223101002), we get a palindrome (2224236324222).

The spelling of 2001013223220 in words is "two trillion, one billion, thirteen million, two hundred twenty-three thousand, two hundred twenty".