101320131312120 has 512 divisors, whose sum is σ = 358897754880000. Its totient is φ = 22870029127680.

The previous prime is 101320131312073. The next prime is 101320131312149. The reversal of 101320131312120 is 21213131023101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10457228236 + ... + 10457237924.

It is an arithmetic number, because the mean of its divisors is an integer number (700972177500).

Almost surely, 2^{101320131312120} is an apocalyptic number.

101320131312120 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 101320131312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179448877440000).

101320131312120 is an abundant number, since it is smaller than the sum of its proper divisors (257577623567880).

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

101320131312120 is a wasteful number, since it uses less digits than its factorization.

101320131312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12868 (or 12850 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101320131312120 its reverse (21213131023101), we get a palindrome (122533262335221).

The spelling of 101320131312120 in words is "one hundred one trillion, three hundred twenty billion, one hundred thirty-one million, three hundred twelve thousand, one hundred twenty".