1001133120 has 224 divisors, whose sum is σ = 3462576768. Its totient is φ = 243597312.

The previous prime is 1001133101. The next prime is 1001133139. The reversal of 1001133120 is 213311001.

It is an interprime number because it is at equal distance from previous prime (1001133101) and next prime (1001133139).

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

It is a junction number, because it is equal to n+sod(n) for n = 1001133096 and 1001133105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210147 + ... + 1210973.

It is an arithmetic number, because the mean of its divisors is an integer number (15457932).

Almost surely, 2^1001133120 is an apocalyptic number.

1001133120 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 1001133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731288384).

1001133120 is an abundant number, since it is smaller than the sum of its proper divisors (2461443648).

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

1001133120 is a wasteful number, since it uses less digits than its factorization.

1001133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1001133120 is about 31640.6877295674. The cubic root of 1001133120 is about 1000.3775640941.

Adding to 1001133120 its reverse (213311001), we get a palindrome (1214444121).

The spelling of 1001133120 in words is "one billion, one million, one hundred thirty-three thousand, one hundred twenty".