1014131200 has 60 divisors (see below), whose sum is σ = 2512620990. Its totient is φ = 405647360.

The previous prime is 1014131197. The next prime is 1014131201. The reversal of 1014131200 is 21314101.

It can be written as a sum of positive squares in 3 ways, for example, as 913490176 + 100641024 = 30224^2 + 10032^2 .

It is not an unprimeable number, because it can be changed into a prime (1014131201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26815 + ... + 52414.

Almost surely, 2^1014131200 is an apocalyptic number.

1014131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014131200 is an abundant number, since it is smaller than the sum of its proper divisors (1498489790).

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

1014131200 is an frugal number, since it uses more digits than its factorization.

1014131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79257 (or 79236 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1014131200 is about 31845.4266732289. The cubic root of 1014131200 is about 1004.6883846972.

Adding to 1014131200 its reverse (21314101), we get a palindrome (1035445301).

The spelling of 1014131200 in words is "one billion, fourteen million, one hundred thirty-one thousand, two hundred".