20031013002 has 192 divisors, whose sum is σ = 55358779392. Its totient is φ = 4699728000.

The previous prime is 20031012997. The next prime is 20031013019.

It is a happy number.

20031013002 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3101877 + ... + 3108327.

It is an arithmetic number, because the mean of its divisors is an integer number (288326976).

Almost surely, 2^20031013002 is an apocalyptic number.

20031013002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20031013002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27679389696).

20031013002 is an abundant number, since it is smaller than the sum of its proper divisors (35327766390).

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

20031013002 is a wasteful number, since it uses less digits than its factorization.

20031013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 200310 and 13002, that added together give a palindrome (213312).

The spelling of 20031013002 in words is "twenty billion, thirty-one million, thirteen thousand, two".