1011413120 has 64 divisors (see below), whose sum is σ = 2423520000. Its totient is φ = 403627008.

The previous prime is 1011413119. The next prime is 1011413197. The reversal of 1011413120 is 213141101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1011413095 and 1011413104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317777 + ... + 320943.

It is an arithmetic number, because the mean of its divisors is an integer number (37867500).

Almost surely, 2^1011413120 is an apocalyptic number.

1011413120 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 1011413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211760000).

1011413120 is an abundant number, since it is smaller than the sum of its proper divisors (1412106880).

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

1011413120 is an equidigital number, since it uses as much as digits as its factorization.

1011413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1011413120 is about 31802.7218960893. The cubic root of 1011413120 is about 1003.7899911539.

Adding to 1011413120 its reverse (213141101), we get a palindrome (1224554221).

The spelling of 1011413120 in words is "one billion, eleven million, four hundred thirteen thousand, one hundred twenty".