1013421000 has 256 divisors, whose sum is σ = 3461253120. Its totient is φ = 245760000.

The previous prime is 1013420957. The next prime is 1013421001. The reversal of 1013421000 is 1243101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1013421001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1580680 + ... + 1581320.

It is an arithmetic number, because the mean of its divisors is an integer number (13520520).

Almost surely, 2^1013421000 is an apocalyptic number.

1013421000 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 1013421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730626560).

1013421000 is an abundant number, since it is smaller than the sum of its proper divisors (2447832120).

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

1013421000 is a wasteful number, since it uses less digits than its factorization.

1013421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1013421000 is about 31834.2739826119. The cubic root of 1013421000 is about 1004.4538008754.

Adding to 1013421000 its reverse (1243101), we get a palindrome (1014664101).

The spelling of 1013421000 in words is "one billion, thirteen million, four hundred twenty-one thousand".