101414301330 has 64 divisors (see below), whose sum is σ = 247510908288. Its totient is φ = 26586869760.

The previous prime is 101414301271. The next prime is 101414301337. The reversal of 101414301330 is 33103414101.

It is a junction number, because it is equal to n+sod(n) for n = 101414301297 and 101414301306.

It is not an unprimeable number, because it can be changed into a prime (101414301337) 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, 3853677 + ... + 3879903.

It is an arithmetic number, because the mean of its divisors is an integer number (3867357942).

Almost surely, 2^101414301330 is an apocalyptic number.

101414301330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101414301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123755454144).

101414301330 is an abundant number, since it is smaller than the sum of its proper divisors (146096606958).

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

101414301330 is a wasteful number, since it uses less digits than its factorization.

101414301330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28411.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101414301330 its reverse (33103414101), we get a palindrome (134517715431).

The spelling of 101414301330 in words is "one hundred one billion, four hundred fourteen million, three hundred one thousand, three hundred thirty".