1020013320032 has 72 divisors (see below), whose sum is σ = 2336935409424. Its totient is φ = 436975886592.

The previous prime is 1020013319971. The next prime is 1020013320041. The reversal of 1020013320032 is 2300233100201.

1020013320032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3882173 + ... + 4136579.

It is an arithmetic number, because the mean of its divisors is an integer number (32457436242).

Almost surely, 2^{1020013320032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020013320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168467704712).

1020013320032 is an abundant number, since it is smaller than the sum of its proper divisors (1316922089392).

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

1020013320032 is a wasteful number, since it uses less digits than its factorization.

1020013320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256988 (or 256973 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1020013320032 its reverse (2300233100201), we get a palindrome (3320246420233).

The spelling of 1020013320032 in words is "one trillion, twenty billion, thirteen million, three hundred twenty thousand, thirty-two".