101013020032 has 64 divisors (see below), whose sum is σ = 204990428160. Its totient is φ = 49570859520.

The previous prime is 101013020029. The next prime is 101013020057. The reversal of 101013020032 is 230020310101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101013019994 and 101013020021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2001703 + ... + 2051545.

It is an arithmetic number, because the mean of its divisors is an integer number (3202975440).

Almost surely, 2^101013020032 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 101013020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102495214080).

101013020032 is an abundant number, since it is smaller than the sum of its proper divisors (103977408128).

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

101013020032 is an equidigital number, since it uses as much as digits as its factorization.

101013020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50151 (or 50139 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 101013020032 its reverse (230020310101), we get a palindrome (331033330133).

The spelling of 101013020032 in words is "one hundred one billion, thirteen million, twenty thousand, thirty-two".