1011131311000 has 32 divisors (see below), whose sum is σ = 2366047270080. Its totient is φ = 404452524000.

The previous prime is 1011131310979. The next prime is 1011131311009. The reversal of 1011131311000 is 1131311101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011131311009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505564656 + ... + 505566655.

It is an arithmetic number, because the mean of its divisors is an integer number (73938977190).

Almost surely, 2^{1011131311000} is an apocalyptic number.

1011131311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011131311000 is an abundant number, since it is smaller than the sum of its proper divisors (1354915959080).

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

1011131311000 is a wasteful number, since it uses less digits than its factorization.

1011131311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011131332 (or 1011131318 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1011131311000 its reverse (1131311101), we get a palindrome (1012262622101).

The spelling of 1011131311000 in words is "one trillion, eleven billion, one hundred thirty-one million, three hundred eleven thousand".