2002001013000 has 192 divisors, whose sum is σ = 6931807711920. Its totient is φ = 520845696000.

The previous prime is 2002001012983. The next prime is 2002001013091. The reversal of 2002001013000 is 3101002002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 293631766884 + 1708369246116 = 541878^2 + 1307046^2 .

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, 2343739 + ... + 3081738.

Almost surely, 2^{2002001013000} is an apocalyptic number.

2002001013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002001013000 is an abundant number, since it is smaller than the sum of its proper divisors (4929806698920).

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

2002001013000 is a wasteful number, since it uses less digits than its factorization.

2002001013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425545 (or 5425528 counting only the distinct ones).

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

Adding to 2002001013000 its reverse (3101002002), we get a palindrome (2005102015002).

The spelling of 2002001013000 in words is "two trillion, two billion, one million, thirteen thousand".