1130101200000 has 384 divisors, whose sum is σ = 4168983168000. Its totient is φ = 301357440000.

The previous prime is 1130101199987. The next prime is 1130101200073. The reversal of 1130101200000 is 21010311.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10747681 + ... + 10852319.

It is an arithmetic number, because the mean of its divisors is an integer number (10856727000).

Almost surely, 2^{1130101200000} is an apocalyptic number.

1130101200000 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 1130101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084491584000).

1130101200000 is an abundant number, since it is smaller than the sum of its proper divisors (3038881968000).

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

1130101200000 is an frugal number, since it uses more digits than its factorization.

1130101200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104687 (or 104649 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1130101200000 its reverse (21010311), we get a palindrome (1130122210311).

It can be divided in two parts, 113010 and 1200000, that added together give a triangular number (1313010 = T₁₆₂₀).

The spelling of 1130101200000 in words is "one trillion, one hundred thirty billion, one hundred one million, two hundred thousand".