1010131200 has 648 divisors, whose sum is σ = 4151609280. Its totient is φ = 232243200.

The previous prime is 1010131193. The next prime is 1010131207. The reversal of 1010131200 is 21310101.

It is an interprime number because it is at equal distance from previous prime (1010131193) and next prime (1010131207).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1010131207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14227165 + ... + 14227235.

Almost surely, 2^1010131200 is an apocalyptic number.

1010131200 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 1010131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075804640).

1010131200 is an abundant number, since it is smaller than the sum of its proper divisors (3141478080).

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

1010131200 is a wasteful number, since it uses less digits than its factorization.

1010131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1010131200 is about 31782.5612561354. The cubic root of 1010131200 is about 1003.3657258471.

Adding to 1010131200 its reverse (21310101), we get a palindrome (1031441301).

It can be divided in two parts, 1010131 and 200, that added together give a triangular number (1010331 = T₁₄₂₁).

The spelling of 1010131200 in words is "one billion, ten million, one hundred thirty-one thousand, two hundred".