20102013000 has 320 divisors, whose sum is σ = 71993441520. Its totient is φ = 5228928000.

The previous prime is 20102012963. The next prime is 20102013047. The reversal of 20102013000 is 31020102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2469891204 + 17632121796 = 49698^2 + 132786^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3317974 + ... + 3324026.

Almost surely, 2^20102013000 is an apocalyptic number.

20102013000 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 20102013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35996720760).

20102013000 is an abundant number, since it is smaller than the sum of its proper divisors (51891428520).

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

20102013000 is a wasteful number, since it uses less digits than its factorization.

20102013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6104 counting only the distinct ones).

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

Adding to 20102013000 its reverse (31020102), we get a palindrome (20133033102).

The spelling of 20102013000 in words is "twenty billion, one hundred two million, thirteen thousand".