32013000000 has 294 divisors, whose sum is σ = 114730132998. Its totient is φ = 8534400000.

The previous prime is 32012999987. The next prime is 32013000013. The reversal of 32013000000 is 31023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32012999987) and next prime (32013000013).

It can be written as a sum of positive squares in 7 ways, for example, as 30100862016 + 1912137984 = 173496^2 + 43728^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8998222 + ... + 9001778.

Almost surely, 2^32013000000 is an apocalyptic number.

32013000000 is a gapful number since it is divisible by the number (30) 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 32013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57365066499).

32013000000 is an abundant number, since it is smaller than the sum of its proper divisors (82717132998).

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

32013000000 is an frugal number, since it uses more digits than its factorization.

32013000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 32013000000 its reverse (31023), we get a palindrome (32013031023).

The spelling of 32013000000 in words is "thirty-two billion, thirteen million", and thus it is an aban number and an uban number.