101401013320 has 64 divisors (see below), whose sum is σ = 231939040320. Its totient is φ = 39889200384.

The previous prime is 101401013297. The next prime is 101401013411. The reversal of 101401013320 is 23310104101.

It is a junction number, because it is equal to n+sod(n) for n = 101401013294 and 101401013303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1611979 + ... + 1673701.

It is an arithmetic number, because the mean of its divisors is an integer number (3624047505).

Almost surely, 2^101401013320 is an apocalyptic number.

101401013320 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 101401013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115969520160).

101401013320 is an abundant number, since it is smaller than the sum of its proper divisors (130538027000).

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

101401013320 is a wasteful number, since it uses less digits than its factorization.

101401013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62414 (or 62410 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101401013320 its reverse (23310104101), we get a palindrome (124711117421).

The spelling of 101401013320 in words is "one hundred one billion, four hundred one million, thirteen thousand, three hundred twenty".