1013421120 has 224 divisors, whose sum is σ = 3348703488. Its totient is φ = 259448832.

The previous prime is 1013421089. The next prime is 1013421131. The reversal of 1013421120 is 211243101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1013421120.

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, 3658422 + ... + 3658698.

Almost surely, 2^1013421120 is an apocalyptic number.

1013421120 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 1013421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674351744).

1013421120 is an abundant number, since it is smaller than the sum of its proper divisors (2335282368).

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

1013421120 is a wasteful number, since it uses less digits than its factorization.

1013421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1013421120 is about 31834.2758673729. The cubic root of 1013421120 is about 1004.4538405215.

Adding to 1013421120 its reverse (211243101), we get a palindrome (1224664221).

The spelling of 1013421120 in words is "one billion, thirteen million, four hundred twenty-one thousand, one hundred twenty".