1034131200 has 108 divisors (see below), whose sum is σ = 3412911768. Its totient is φ = 275763200.

The previous prime is 1034131187. The next prime is 1034131207. The reversal of 1034131200 is 21314301.

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 1034131200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034131207) 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, 7731 + ... + 46130.

Almost surely, 2^1034131200 is an apocalyptic number.

1034131200 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 1034131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706455884).

1034131200 is an abundant number, since it is smaller than the sum of its proper divisors (2378780568).

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

1034131200 is an equidigital number, since it uses as much as digits as its factorization.

1034131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53890 (or 53871 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1034131200 is about 32157.9103798739. The cubic root of 1034131200 is about 1011.2500289033.

Adding to 1034131200 its reverse (21314301), we get a palindrome (1055445501).

The spelling of 1034131200 in words is "one billion, thirty-four million, one hundred thirty-one thousand, two hundred".