2001213013120 has 128 divisors (see below), whose sum is σ = 5164300800000. Its totient is φ = 739278532608.

The previous prime is 2001213013109. The next prime is 2001213013157. The reversal of 2001213013120 is 213103121002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2001213013094 and 2001213013103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1917120 + ... + 2770879.

It is an arithmetic number, because the mean of its divisors is an integer number (40346100000).

Almost surely, 2^{2001213013120} is an apocalyptic number.

2001213013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001213013120 is an abundant number, since it is smaller than the sum of its proper divisors (3163087786880).

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

2001213013120 is a wasteful number, since it uses less digits than its factorization.

2001213013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688070 (or 4688058 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2001213013120 its reverse (213103121002), we get a palindrome (2214316134122).

The spelling of 2001213013120 in words is "two trillion, one billion, two hundred thirteen million, thirteen thousand, one hundred twenty".