1051133120 has 224 divisors, whose sum is σ = 2865217536. Its totient is φ = 364953600.

The previous prime is 1051133099. The next prime is 1051133147. The reversal of 1051133120 is 213311501.

It is a super-2 number, since 2×1051133120² = 2209761671921868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3878585 + ... + 3878855.

Almost surely, 2^1051133120 is an apocalyptic number.

1051133120 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 1051133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432608768).

1051133120 is an abundant number, since it is smaller than the sum of its proper divisors (1814084416).

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

1051133120 is a wasteful number, since it uses less digits than its factorization.

1051133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 1051133120 is about 32421.1831986434. The cubic root of 1051133120 is about 1016.7618441158.

Adding to 1051133120 its reverse (213311501), we get a palindrome (1264444621).

The spelling of 1051133120 in words is "one billion, fifty-one million, one hundred thirty-three thousand, one hundred twenty".