120113001000 has 96 divisors (see below), whose sum is σ = 405981973800. Its totient is φ = 32030131200.

The previous prime is 120113000989. The next prime is 120113001007. The reversal of 120113001000 is 100311021.

120113001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15397335396 + 104715665604 = 124086^2 + 323598^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120113001007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6663945 + ... + 6681944.

Almost surely, 2^120113001000 is an apocalyptic number.

120113001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120113001000 is an abundant number, since it is smaller than the sum of its proper divisors (285868972800).

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

120113001000 is a wasteful number, since it uses less digits than its factorization.

120113001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345916 (or 13345899 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 120113001000 its reverse (100311021), we get a palindrome (120213312021).

The spelling of 120113001000 in words is "one hundred twenty billion, one hundred thirteen million, one thousand".