11131010201000 has 32 divisors (see below), whose sum is σ = 26046563872680. Its totient is φ = 4452404080000.

The previous prime is 11131010200991. The next prime is 11131010201053. The reversal of 11131010201000 is 10201013111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1496330776516 + 9634679424484 = 1223246^2 + 3103978^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5565504101 + ... + 5565506100.

Almost surely, 2^{11131010201000} is an apocalyptic number.

11131010201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131010201000 is an abundant number, since it is smaller than the sum of its proper divisors (14915553671680).

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

11131010201000 is a wasteful number, since it uses less digits than its factorization.

11131010201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11131010222 (or 11131010208 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11131010201000 its reverse (10201013111), we get a palindrome (11141211214111).

The spelling of 11131010201000 in words is "eleven trillion, one hundred thirty-one billion, ten million, two hundred one thousand".