1031131200 has 336 divisors, whose sum is σ = 3764401920. Its totient is φ = 244992000.

The previous prime is 1031131183. The next prime is 1031131267. The reversal of 1031131200 is 21311301.

It is a super-2 number, since 2×1031131200² = 2126463103226880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3115035 + ... + 3115365.

Almost surely, 2^1031131200 is an apocalyptic number.

1031131200 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 1031131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882200960).

1031131200 is an abundant number, since it is smaller than the sum of its proper divisors (2733270720).

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

1031131200 is a wasteful number, since it uses less digits than its factorization.

1031131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1031131200 is about 32111.2316798967. The cubic root of 1031131200 is about 1010.2712077615.

Adding to 1031131200 its reverse (21311301), we get a palindrome (1052442501).

It can be divided in two parts, 1031 and 131200, that added together give a palindrome (132231).

The spelling of 1031131200 in words is "one billion, thirty-one million, one hundred thirty-one thousand, two hundred".