1013001200 has 60 divisors (see below), whose sum is σ = 2464619040. Its totient is φ = 400058880.

The previous prime is 1013001179. The next prime is 1013001203. The reversal of 1013001200 is 21003101.

1013001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013001203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15572 + ... + 47628.

It is an arithmetic number, because the mean of its divisors is an integer number (41076984).

Almost surely, 2^1013001200 is an apocalyptic number.

1013001200 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 1013001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232309520).

1013001200 is an abundant number, since it is smaller than the sum of its proper divisors (1451617840).

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

1013001200 is a wasteful number, since it uses less digits than its factorization.

1013001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32154 (or 32143 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1013001200 is about 31827.6797772002. The cubic root of 1013001200 is about 1004.3150865789.

Adding to 1013001200 its reverse (21003101), we get a palindrome (1034004301).

The spelling of 1013001200 in words is "one billion, thirteen million, one thousand, two hundred".