1020131200 has 192 divisors, whose sum is σ = 2793816720. Its totient is φ = 364953600.

The previous prime is 1020131051. The next prime is 1020131251. The reversal of 1020131200 is 21310201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2569402 + ... + 2569798.

Almost surely, 2^1020131200 is an apocalyptic number.

1020131200 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 1020131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396908360).

1020131200 is an abundant number, since it is smaller than the sum of its proper divisors (1773685520).

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

1020131200 is a wasteful number, since it uses less digits than its factorization.

1020131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1020131200 is about 31939.4927949709. The cubic root of 1020131200 is about 1006.6658674808.

Adding to 1020131200 its reverse (21310201), we get a palindrome (1041441401).

The spelling of 1020131200 in words is "one billion, twenty million, one hundred thirty-one thousand, two hundred".