120313101303000 has 512 divisors, whose sum is σ = 424256283360000. Its totient is φ = 31532716800000.

The previous prime is 120313101302983. The next prime is 120313101303107. The reversal of 120313101303000 is 303101313021.

It is a happy number.

120313101303000 is a `hidden beast` number, since 1 + 20 + 3 + 1 + 310 + 1 + 30 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2142718926 + ... + 2142775074.

Almost surely, 2^{120313101303000} is an apocalyptic number.

120313101303000 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 120313101303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212128141680000).

120313101303000 is an abundant number, since it is smaller than the sum of its proper divisors (303943182057000).

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

120313101303000 is a wasteful number, since it uses less digits than its factorization.

120313101303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57541 (or 57521 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 120313101303000 its reverse (303101313021), we get a palindrome (120616202616021).

The spelling of 120313101303000 in words is "one hundred twenty trillion, three hundred thirteen billion, one hundred one million, three hundred three thousand".