1020013200 has 360 divisors, whose sum is σ = 3761092608. Its totient is φ = 255467520.

The previous prime is 1020013139. The next prime is 1020013207. The reversal of 1020013200 is 23100201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020013207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8031537 + ... + 8031663.

Almost surely, 2^1020013200 is an apocalyptic number.

1020013200 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 1020013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880546304).

1020013200 is an abundant number, since it is smaller than the sum of its proper divisors (2741079408).

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

1020013200 is a wasteful number, since it uses less digits than its factorization.

1020013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1020013200 is about 31937.6454986901. The cubic root of 1020013200 is about 1006.6270518354.

Adding to 1020013200 its reverse (23100201), we get a palindrome (1043113401).

The spelling of 1020013200 in words is "one billion, twenty million, thirteen thousand, two hundred".