101314331414120 has 256 divisors, whose sum is σ = 254077175520000. Its totient is φ = 36048889036800.

The previous prime is 101314331414117. The next prime is 101314331414171. The reversal of 101314331414120 is 21414133413101.

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, 4055967791 + ... + 4055992769.

It is an arithmetic number, because the mean of its divisors is an integer number (992488966875).

Almost surely, 2^{101314331414120} is an apocalyptic number.

101314331414120 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 101314331414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127038587760000).

101314331414120 is an abundant number, since it is smaller than the sum of its proper divisors (152762844105880).

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

101314331414120 is a wasteful number, since it uses less digits than its factorization.

101314331414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25844 (or 25840 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 101314331414120 its reverse (21414133413101), we get a palindrome (122728464827221).

The spelling of 101314331414120 in words is "one hundred one trillion, three hundred fourteen billion, three hundred thirty-one million, four hundred fourteen thousand, one hundred twenty".