1013030400 has 480 divisors, whose sum is σ = 3702048768. Its totient is φ = 243302400.

The previous prime is 1013030371. The next prime is 1013030401. The reversal of 1013030400 is 40303101.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013030401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27379182 + ... + 27379218.

Almost surely, 2^1013030400 is an apocalyptic number.

1013030400 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 1013030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851024384).

1013030400 is an abundant number, since it is smaller than the sum of its proper divisors (2689018368).

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

1013030400 is a wasteful number, since it uses less digits than its factorization.

1013030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1013030400 is about 31828.1384941061. The cubic root of 1013030400 is about 1004.3247363597.

Adding to 1013030400 its reverse (40303101), we get a palindrome (1053333501).

The spelling of 1013030400 in words is "one billion, thirteen million, thirty thousand, four hundred".