1131020010000 has 1000 divisors, whose sum is σ = 4287075665400. Its totient is φ = 287400960000.

The previous prime is 1131020009963. The next prime is 1131020010037. The reversal of 1131020010000 is 100201311.

It is an interprime number because it is at equal distance from previous prime (1131020009963) and next prime (1131020010037).

It can be written as a sum of positive squares in 20 ways, for example, as 1120515399936 + 10504610064 = 1058544^2 + 102492^2 .

It is a tau number, because it is divible by the number of its divisors (1000).

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 199 ways as a sum of consecutive naturals, for example, 2090609730 + ... + 2090610270.

Almost surely, 2^{1131020010000} is an apocalyptic number.

1131020010000 is a gapful number since it is divisible by the number (10) 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 1131020010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143537832700).

1131020010000 is an abundant number, since it is smaller than the sum of its proper divisors (3156055655400).

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

1131020010000 is an equidigital number, since it uses as much as digits as its factorization.

1131020010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1131020010000 its reverse (100201311), we get a palindrome (1131120211311).

The spelling of 1131020010000 in words is "one trillion, one hundred thirty-one billion, twenty million, ten thousand".