32013211020 has 384 divisors, whose sum is σ = 114022121472. Its totient is φ = 6538752000.

The previous prime is 32013211007. The next prime is 32013211051. The reversal of 32013211020 is 2011231023.

It is a super-2 number, since 2×32013211020² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 24796575 + ... + 24797865.

It is an arithmetic number, because the mean of its divisors is an integer number (296932608).

Almost surely, 2^32013211020 is an apocalyptic number.

32013211020 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 32013211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57011060736).

32013211020 is an abundant number, since it is smaller than the sum of its proper divisors (82008910452).

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

32013211020 is a wasteful number, since it uses less digits than its factorization.

32013211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 32013211020 its reverse (2011231023), we get a palindrome (34024442043).

The spelling of 32013211020 in words is "thirty-two billion, thirteen million, two hundred eleven thousand, twenty".