31020420032 has 112 divisors (see below), whose sum is σ = 71899710912. Its totient is φ = 13003161600.

The previous prime is 31020420023. The next prime is 31020420037. The reversal of 31020420032 is 23002402013.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020420037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8379782 + ... + 8383482.

Almost surely, 2^31020420032 is an apocalyptic number.

31020420032 is a gapful number since it is divisible by the number (32) 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 31020420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35949855456).

31020420032 is an abundant number, since it is smaller than the sum of its proper divisors (40879290880).

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

31020420032 is a wasteful number, since it uses less digits than its factorization.

31020420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 31020420032 its reverse (23002402013), we get a palindrome (54022822045).

The spelling of 31020420032 in words is "thirty-one billion, twenty million, four hundred twenty thousand, thirty-two".