20101311130000 has 100 divisors (see below), whose sum is σ = 48869229175228. Its totient is φ = 8007160320000.

The previous prime is 20101311129947. The next prime is 20101311130027. The reversal of 20101311130000 is 3111310102.

It can be written as a sum of positive squares in 10 ways, for example, as 7657462252944 + 12443848877056 = 2767212^2 + 3527584^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1760397 + ... + 6580396.

Almost surely, 2^{20101311130000} is an apocalyptic number.

20101311130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101311130000 is an abundant number, since it is smaller than the sum of its proper divisors (28767918045228).

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

20101311130000 is an equidigital number, since it uses as much as digits as its factorization.

20101311130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8341062 (or 8341041 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 20101311130000 its reverse (3111310102), we get a palindrome (20104422440102).

The spelling of 20101311130000 in words is "twenty trillion, one hundred one billion, three hundred eleven million, one hundred thirty thousand".