1131011310000 has 800 divisors, whose sum is σ = 4437748465920. Its totient is φ = 244339200000.

The previous prime is 1131011309999. The next prime is 1131011310043. The reversal of 1131011310000 is 131101311.

It is a super-2 number, since 2×1131011310000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 124405455 + ... + 124414545.

Almost surely, 2^{1131011310000} is an apocalyptic number.

1131011310000 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 1131011310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218874232960).

1131011310000 is an abundant number, since it is smaller than the sum of its proper divisors (3306737155920).

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

1131011310000 is a wasteful number, since it uses less digits than its factorization.

1131011310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9175 (or 9154 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1131011310000 its reverse (131101311), we get a palindrome (1131142411311).

The spelling of 1131011310000 in words is "one trillion, one hundred thirty-one billion, eleven million, three hundred ten thousand".