101310301301120 has 128 divisors (see below), whose sum is σ = 250079464903680. Its totient is φ = 39205630310400.

The previous prime is 101310301301107. The next prime is 101310301301129. The reversal of 101310301301120 is 21103103013101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310301301129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68530079 + ... + 69992801.

It is an arithmetic number, because the mean of its divisors is an integer number (1953745819560).

Almost surely, 2^{101310301301120} is an apocalyptic number.

101310301301120 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 101310301301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125039732451840).

101310301301120 is an abundant number, since it is smaller than the sum of its proper divisors (148769163602560).

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

101310301301120 is a wasteful number, since it uses less digits than its factorization.

101310301301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466264 (or 1466252 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101310301301120 its reverse (21103103013101), we get a palindrome (122413404314221).

The spelling of 101310301301120 in words is "one hundred one trillion, three hundred ten billion, three hundred one million, three hundred one thousand, one hundred twenty".