20331001000 has 128 divisors (see below), whose sum is σ = 49436244000. Its totient is φ = 7816704000.

The previous prime is 20331000973. The next prime is 20331001027. The reversal of 20331001000 is 10013302.

It is an interprime number because it is at equal distance from previous prime (20331000973) and next prime (20331001027).

It can be written as a sum of positive squares in 16 ways, for example, as 382828356 + 19948172644 = 19566^2 + 141238^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6987546 + ... + 6990454.

Almost surely, 2^20331001000 is an apocalyptic number.

20331001000 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 20331001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24718122000).

20331001000 is an abundant number, since it is smaller than the sum of its proper divisors (29105243000).

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

20331001000 is a wasteful number, since it uses less digits than its factorization.

20331001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 20331001000 its reverse (10013302), we get a palindrome (20341014302).

The spelling of 20331001000 in words is "twenty billion, three hundred thirty-one million, one thousand".