1014133120 has 256 divisors, whose sum is σ = 3257210880. Its totient is φ = 291594240.

The previous prime is 1014133117. The next prime is 1014133129. The reversal of 1014133120 is 213314101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1014133094 and 1014133103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014133129) by changing a digit.

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, 639849 + ... + 641431.

It is an arithmetic number, because the mean of its divisors is an integer number (12723480).

Almost surely, 2^1014133120 is an apocalyptic number.

1014133120 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 1014133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628605440).

1014133120 is an abundant number, since it is smaller than the sum of its proper divisors (2243077760).

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

1014133120 is a wasteful number, since it uses less digits than its factorization.

1014133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1014133120 is about 31845.4568188305. The cubic root of 1014133120 is about 1004.6890187376.

Adding to 1014133120 its reverse (213314101), we get a palindrome (1227447221).

The spelling of 1014133120 in words is "one billion, fourteen million, one hundred thirty-three thousand, one hundred twenty".