1013200032 has 96 divisors (see below), whose sum is σ = 2956746240. Its totient is φ = 301685760.

The previous prime is 1013199997. The next prime is 1013200037. The reversal of 1013200032 is 2300023101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1013199990 and 1013200017.

It is not an unprimeable number, because it can be changed into a prime (1013200037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25594 + ... + 51782.

It is an arithmetic number, because the mean of its divisors is an integer number (30799440).

Almost surely, 2^1013200032 is an apocalyptic number.

1013200032 is a gapful number since it is divisible by the number (12) 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 1013200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478373120).

1013200032 is an abundant number, since it is smaller than the sum of its proper divisors (1943546208).

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

1013200032 is a wasteful number, since it uses less digits than its factorization.

1013200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26246 (or 26238 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1013200032 is about 31830.8031943902. The cubic root of 1013200032 is about 1004.3807913098.

Adding to 1013200032 its reverse (2300023101), we get a palindrome (3313223133).

The spelling of 1013200032 in words is "one billion, thirteen million, two hundred thousand, thirty-two".