1133123301000 has 384 divisors, whose sum is σ = 3911071413600. Its totient is φ = 295828070400.

The previous prime is 1133123300977. The next prime is 1133123301029. The reversal of 1133123301000 is 1033213311.

It is a happy number.

1133123301000 is a `hidden beast` number, since 1 + 1 + 331 + 2 + 330 + 1 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 157639173444 + 975484127556 = 397038^2 + 987666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90002706 + ... + 90015294.

Almost surely, 2^{1133123301000} is an apocalyptic number.

1133123301000 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 1133123301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955535706800).

1133123301000 is an abundant number, since it is smaller than the sum of its proper divisors (2777948112600).

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

1133123301000 is a wasteful number, since it uses less digits than its factorization.

1133123301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12826 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1133123301000 its reverse (1033213311), we get a palindrome (1134156514311).

The spelling of 1133123301000 in words is "one trillion, one hundred thirty-three billion, one hundred twenty-three million, three hundred one thousand".