101013030320 has 160 divisors (see below), whose sum is σ = 267848570880. Its totient is φ = 35188715520.

The previous prime is 101013030311. The next prime is 101013030353. The reversal of 101013030320 is 23030310101.

It is a junction number, because it is equal to n+sod(n) for n = 101013030295 and 101013030304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065665 + ... + 1156575.

It is an arithmetic number, because the mean of its divisors is an integer number (1674053568).

Almost surely, 2^101013030320 is an apocalyptic number.

101013030320 is a gapful number since it is divisible by the number (10) 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 101013030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133924285440).

101013030320 is an abundant number, since it is smaller than the sum of its proper divisors (166835540560).

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

101013030320 is a wasteful number, since it uses less digits than its factorization.

101013030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91003 (or 90997 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 101013030320 its reverse (23030310101), we get a palindrome (124043340421).

The spelling of 101013030320 in words is "one hundred one billion, thirteen million, thirty thousand, three hundred twenty".