101311313210120 has 256 divisors, whose sum is σ = 274067351712000. Its totient is φ = 33297557815296.

The previous prime is 101311313210089. The next prime is 101311313210123. The reversal of 101311313210120 is 21012313113101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101311313210092 and 101311313210101.

It is not an unprimeable number, because it can be changed into a prime (101311313210123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99091691 + ... + 100108869.

It is an arithmetic number, because the mean of its divisors is an integer number (1070575592625).

Almost surely, 2^{101311313210120} is an apocalyptic number.

101311313210120 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 101311313210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137033675856000).

101311313210120 is an abundant number, since it is smaller than the sum of its proper divisors (172756038501880).

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

101311313210120 is a wasteful number, since it uses less digits than its factorization.

101311313210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017832 (or 1017828 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101311313210120 its reverse (21012313113101), we get a palindrome (122323626323221).

The spelling of 101311313210120 in words is "one hundred one trillion, three hundred eleven billion, three hundred thirteen million, two hundred ten thousand, one hundred twenty".