120311011313000 has 128 divisors (see below), whose sum is σ = 284643812344320. Its totient is φ = 47593005465600.

The previous prime is 120311011312969. The next prime is 120311011313023. The reversal of 120311011313000 is 313110113021.

It is a self number, because there is not a number n which added to its sum of digits gives 120311011313000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75742952 + ... + 77315048.

It is an arithmetic number, because the mean of its divisors is an integer number (2223779783940).

Almost surely, 2^{120311011313000} is an apocalyptic number.

120311011313000 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 120311011313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142321906172160).

120311011313000 is an abundant number, since it is smaller than the sum of its proper divisors (164332801031320).

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

120311011313000 is a wasteful number, since it uses less digits than its factorization.

120311011313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572964 (or 1572950 counting only the distinct ones).

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

Adding to 120311011313000 its reverse (313110113021), we get a palindrome (120624121426021).

The spelling of 120311011313000 in words is "one hundred twenty trillion, three hundred eleven billion, eleven million, three hundred thirteen thousand".