101114320413414 has 128 divisors (see below), whose sum is σ = 255194074533888. Its totient is φ = 25944270975360.

The previous prime is 101114320413341. The next prime is 101114320413473. The reversal of 101114320413414 is 414314023411101.

It is a super-3 number, since 3×101114320413414³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373086157 + ... + 373357079.

It is an arithmetic number, because the mean of its divisors is an integer number (1993703707296).

Almost surely, 2^{101114320413414} is an apocalyptic number.

101114320413414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101114320413414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127597037266944).

101114320413414 is an abundant number, since it is smaller than the sum of its proper divisors (154079754120474).

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

101114320413414 is a wasteful number, since it uses less digits than its factorization.

101114320413414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280762.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 101114320413414 its reverse (414314023411101), we get a palindrome (515428343824515).

The spelling of 101114320413414 in words is "one hundred one trillion, one hundred fourteen billion, three hundred twenty million, four hundred thirteen thousand, four hundred fourteen".