101013200321320 has 128 divisors (see below), whose sum is σ = 271249030195200. Its totient is φ = 33101961590016.

The previous prime is 101013200321269. The next prime is 101013200321329. The reversal of 101013200321320 is 23123002310101.

It is not an unprimeable number, because it can be changed into a prime (101013200321329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2416591 + ... + 14417569.

It is an arithmetic number, because the mean of its divisors is an integer number (2119133048400).

Almost surely, 2^{101013200321320} is an apocalyptic number.

101013200321320 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 101013200321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135624515097600).

101013200321320 is an abundant number, since it is smaller than the sum of its proper divisors (170235829873880).

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

101013200321320 is a wasteful number, since it uses less digits than its factorization.

101013200321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12002327 (or 12002323 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101013200321320 its reverse (23123002310101), we get a palindrome (124136202631421).

The spelling of 101013200321320 in words is "one hundred one trillion, thirteen billion, two hundred million, three hundred twenty-one thousand, three hundred twenty".