1130144311100 has 288 divisors, whose sum is σ = 2919175827456. Its totient is φ = 371626444800.

The previous prime is 1130144311097. The next prime is 1130144311103. The reversal of 1130144311100 is 11134410311.

It is an interprime number because it is at equal distance from previous prime (1130144311097) and next prime (1130144311103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130144311103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1541806334 + ... + 1541807066.

Almost surely, 2^{1130144311100} is an apocalyptic number.

1130144311100 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 1130144311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459587913728).

1130144311100 is an abundant number, since it is smaller than the sum of its proper divisors (1789031516356).

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

1130144311100 is a wasteful number, since it uses less digits than its factorization.

1130144311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1130144311100 its reverse (11134410311), we get a palindrome (1141278721411).

The spelling of 1130144311100 in words is "one trillion, one hundred thirty billion, one hundred forty-four million, three hundred eleven thousand, one hundred".