101310403320 has 384 divisors, whose sum is σ = 396862502400. Its totient is φ = 22763275776.

The previous prime is 101310403309. The next prime is 101310403321. The reversal of 101310403320 is 23304013101.

It is a super-2 number, since 2×101310403320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101310403293 and 101310403302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310403321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4001742 + ... + 4026978.

It is an arithmetic number, because the mean of its divisors is an integer number (1033496100).

Almost surely, 2^101310403320 is an apocalyptic number.

101310403320 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 101310403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198431251200).

101310403320 is an abundant number, since it is smaller than the sum of its proper divisors (295552099080).

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

101310403320 is a wasteful number, since it uses less digits than its factorization.

101310403320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25329 (or 25313 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101310403320 its reverse (23304013101), we get a palindrome (124614416421).

The spelling of 101310403320 in words is "one hundred one billion, three hundred ten million, four hundred three thousand, three hundred twenty".