1013129400 has 192 divisors, whose sum is σ = 3331036800. Its totient is φ = 254016000.

The previous prime is 1013129353. The next prime is 1013129423. The reversal of 1013129400 is 49213101.

1013129400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013129400² = 2052862362288720000, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2063155 + ... + 2063645.

It is an arithmetic number, because the mean of its divisors is an integer number (17349150).

Almost surely, 2^1013129400 is an apocalyptic number.

1013129400 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 1013129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665518400).

1013129400 is an abundant number, since it is smaller than the sum of its proper divisors (2317907400).

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

1013129400 is a wasteful number, since it uses less digits than its factorization.

1013129400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1013129400 is about 31829.6936837287. The cubic root of 1013129400 is about 1004.3574517025.

The spelling of 1013129400 in words is "one billion, thirteen million, one hundred twenty-nine thousand, four hundred".